What is the smallest k-digit number so that its last pair of digits is k times the first pair of digits?

(In reply to

re(2): Possible solution by Charlie)

The 00 solution is partially right, **but: **

a) 0/0 is any number, not necessariy 3 or 13

b) the zero quantity is a single digit 0, neither 00 nor 0000000000000.

I promise to adress the issue of this particular post **later.**