Find the super palindromes!
Jelly, 13 12 9 8 bytes

Æf×\D⁼U$


Try it online! or verify all test cases.

How it works

Æf×\D⁼U$  Main link. Argument: n

Æf        Yield all prime factors of n, with multiplicities and in ascending order.
  ×\      Take the cumulative product.
    D     Decimal; convert each product into the array of its base 10 digits.
       $  Combine the two links to the left into a monadic chain.
      U     Upend; reverse all arrays of decimal digits.
     ⁼      Test for equality.