Copyright (C) 2007 by Rainer Typke.
This puzzle contains no zero.

Across
A: the reverse of E down.
F: The reverse of F across minus C down equals half the digit product of D down.
G: A palindrome.
I: the opus ultimum, written in Leipzig
J: the reverse of a prime number

Down
B: I across multiplied with the reverse of F across
C: A square number and palindrome
D: This palindrome is a multiple of C down
E: G across minus J across
H: A prime number.