No zeros occur in this puzzle.
Across:
A: a prime number.
D: A across multiplied with the digit sum of D down.
F: a prime number.
G: a square number.
H: a multiple of D across.
J: a palindrome (a number that equals its reverse).
Down:
A: a multiple of D down.
B: B down is prime.
C: the reverse of C down is a multiple of the digit sum of F across.
D: the reverse of A across.
E: all digits of E down are even.
I: a square number.