diff --git a/Doc/c-api/hash.rst b/Doc/c-api/hash.rst
index ddf0b3e15dbdbe..7345a048a4128b 100644
--- a/Doc/c-api/hash.rst
+++ b/Doc/c-api/hash.rst
@@ -29,6 +29,12 @@ See also the :c:member:`PyTypeObject.tp_hash` member and :ref:`numeric-hash`.
 
    .. versionadded:: 3.13
 
+.. c:macro:: PyHASH_MULTIPLIER
+
+   Prime multiplier used in string and various other hashes.
+
+   .. versionadded:: 3.13
+
 .. c:macro:: PyHASH_INF
 
    The hash value returned for a positive infinity.
diff --git a/Include/cpython/pyhash.h b/Include/cpython/pyhash.h
index 2f8e12c1423aa1..825c034a8d8474 100644
--- a/Include/cpython/pyhash.h
+++ b/Include/cpython/pyhash.h
@@ -3,7 +3,7 @@
 #endif
 
 /* Prime multiplier used in string and various other hashes. */
-#define _PyHASH_MULTIPLIER 1000003UL  /* 0xf4243 */
+#define PyHASH_MULTIPLIER 1000003UL  /* 0xf4243 */
 
 /* Parameters used for the numeric hash implementation.  See notes for
    _Py_HashDouble in Python/pyhash.c.  Numeric hashes are based on
@@ -17,9 +17,10 @@
 
 #define PyHASH_MODULUS (((size_t)1 << _PyHASH_BITS) - 1)
 #define PyHASH_INF 314159
-#define PyHASH_IMAG _PyHASH_MULTIPLIER
+#define PyHASH_IMAG PyHASH_MULTIPLIER
 
 /* Aliases kept for backward compatibility with Python 3.12 */
+#define _PyHASH_MULTIPLIER PyHASH_MULTIPLIER
 #define _PyHASH_BITS PyHASH_BITS
 #define _PyHASH_MODULUS PyHASH_MODULUS
 #define _PyHASH_INF PyHASH_INF
diff --git a/Misc/NEWS.d/next/C API/2024-05-20-10-35-22.gh-issue-111389.a6axBk.rst b/Misc/NEWS.d/next/C API/2024-05-20-10-35-22.gh-issue-111389.a6axBk.rst
new file mode 100644
index 00000000000000..f47662f2e0a778
--- /dev/null
+++ b/Misc/NEWS.d/next/C API/2024-05-20-10-35-22.gh-issue-111389.a6axBk.rst	
@@ -0,0 +1,2 @@
+Add :c:macro:`PyHASH_MULTIPLIER` constant: prime multiplier used in string
+and various other hashes. Patch by Victor Stinner.
diff --git a/Objects/codeobject.c b/Objects/codeobject.c
index 3d804f73a54088..1c6b55643fa19e 100644
--- a/Objects/codeobject.c
+++ b/Objects/codeobject.c
@@ -2020,7 +2020,7 @@ code_hash(PyCodeObject *co)
     Py_uhash_t uhash = 20221211;
     #define SCRAMBLE_IN(H) do {       \
         uhash ^= (Py_uhash_t)(H);     \
-        uhash *= _PyHASH_MULTIPLIER;  \
+        uhash *= PyHASH_MULTIPLIER;  \
     } while (0)
     #define SCRAMBLE_IN_HASH(EXPR) do {     \
         Py_hash_t h = PyObject_Hash(EXPR);  \
diff --git a/Python/optimizer.c b/Python/optimizer.c
index 9ae99ccdaea2e7..5b4a6ff8cb3dad 100644
--- a/Python/optimizer.c
+++ b/Python/optimizer.c
@@ -1496,7 +1496,7 @@ address_to_hash(void *ptr) {
     uintptr_t addr = (uintptr_t)ptr;
     for (int i = 0; i < SIZEOF_VOID_P; i++) {
         uhash ^= addr & 255;
-        uhash *= (uint64_t)_PyHASH_MULTIPLIER;
+        uhash *= (uint64_t)PyHASH_MULTIPLIER;
         addr >>= 8;
     }
     return uhash;
diff --git a/Python/pyhash.c b/Python/pyhash.c
index d508d78092a9e7..5263622ff3126d 100644
--- a/Python/pyhash.c
+++ b/Python/pyhash.c
@@ -263,12 +263,12 @@ fnv(const void *src, Py_ssize_t len)
     x ^= (Py_uhash_t) *p << 7;
     while (blocks--) {
         PY_UHASH_CPY(block.bytes, p);
-        x = (_PyHASH_MULTIPLIER * x) ^ block.value;
+        x = (PyHASH_MULTIPLIER * x) ^ block.value;
         p += SIZEOF_PY_UHASH_T;
     }
     /* add remainder */
     for (; remainder > 0; remainder--)
-        x = (_PyHASH_MULTIPLIER * x) ^ (Py_uhash_t) *p++;
+        x = (PyHASH_MULTIPLIER * x) ^ (Py_uhash_t) *p++;
     x ^= (Py_uhash_t) len;
     x ^= (Py_uhash_t) _Py_HashSecret.fnv.suffix;
     if (x == (Py_uhash_t) -1) {
diff --git a/Python/tracemalloc.c b/Python/tracemalloc.c
index e3ec72062f6931..fee7dd0e56d96d 100644
--- a/Python/tracemalloc.c
+++ b/Python/tracemalloc.c
@@ -312,7 +312,7 @@ traceback_hash(traceback_t *traceback)
     /* code based on tuplehash() of Objects/tupleobject.c */
     Py_uhash_t x, y;  /* Unsigned for defined overflow behavior. */
     int len = traceback->nframe;
-    Py_uhash_t mult = _PyHASH_MULTIPLIER;
+    Py_uhash_t mult = PyHASH_MULTIPLIER;
     frame_t *frame;
 
     x = 0x345678UL;