diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index 9c6e71c54d79d3..bd4ce08290abb4 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -893,8 +893,16 @@ def test_issue31752(self):
         class BadInt(int):
             def __mul__(self, other):
                 return Prod()
+            def __rmul__(self, other):
+                return Prod()
+            def __floordiv__(self, other):
+                return Prod()
+            def __rfloordiv__(self, other):
+                return Prod()
 
         class Prod:
+            def __add__(self, other):
+                return Sum()
             def __radd__(self, other):
                 return Sum()
 
@@ -906,6 +914,9 @@ def __divmod__(self, other):
         timedelta(microseconds=BadInt(1))
         timedelta(hours=BadInt(1))
         timedelta(weeks=BadInt(1))
+        timedelta(1) * BadInt(1)
+        BadInt(1) * timedelta(1)
+        timedelta(1) // BadInt(1)
 
 
 #############################################################################
diff --git a/Modules/_datetimemodule.c b/Modules/_datetimemodule.c
index b7c59f1bd8626d..c5e813c766a0d2 100644
--- a/Modules/_datetimemodule.c
+++ b/Modules/_datetimemodule.c
@@ -1857,6 +1857,26 @@ microseconds_to_delta_ex(PyObject *pyus, PyTypeObject *type)
 #define microseconds_to_delta(pymicros) \
     microseconds_to_delta_ex(pymicros, &PyDateTime_DeltaType)
 
+/* Don't use PyNumber_Multiply() because of possible
+   overridden operators in int subclasses. */
+static PyObject *
+integer_multiply(PyObject *a, PyObject *b)
+{
+    assert(PyLong_Check(a));
+    assert(PyLong_Check(b));
+    return PyLong_Type.tp_as_number->nb_multiply(a, b);
+}
+
+/* Don't use PyNumber_FloorDivide() because of possible
+   overridden operators in int subclasses. */
+static PyObject *
+integer_divide(PyObject *a, PyObject *b)
+{
+    assert(PyLong_Check(a));
+    assert(PyLong_Check(b));
+    return PyLong_Type.tp_as_number->nb_floor_divide(a, b);
+}
+
 static PyObject *
 multiply_int_timedelta(PyObject *intobj, PyDateTime_Delta *delta)
 {
@@ -1868,7 +1888,7 @@ multiply_int_timedelta(PyObject *intobj, PyDateTime_Delta *delta)
     if (pyus_in == NULL)
         return NULL;
 
-    pyus_out = PyNumber_Multiply(pyus_in, intobj);
+    pyus_out = integer_multiply(pyus_in, intobj);
     Py_DECREF(pyus_in);
     if (pyus_out == NULL)
         return NULL;
@@ -1949,7 +1969,7 @@ divide_timedelta_int(PyDateTime_Delta *delta, PyObject *intobj)
     if (pyus_in == NULL)
         return NULL;
 
-    pyus_out = PyNumber_FloorDivide(pyus_in, intobj);
+    pyus_out = integer_divide(pyus_in, intobj);
     Py_DECREF(pyus_in);
     if (pyus_out == NULL)
         return NULL;
@@ -2309,7 +2329,7 @@ accum(const char* tag, PyObject *sofar, PyObject *num, PyObject *factor,
     assert(num != NULL);
 
     if (PyLong_Check(num)) {
-        prod = PyNumber_Multiply(factor, num);
+        prod = integer_multiply(num, factor);
         if (prod == NULL)
             return NULL;
         assert(PyLong_CheckExact(prod));