If a number is divisible by 3, and also by 4, then it is divisible by 12 - so you might use the divisibility rules for those two numbers. Although it might be simpler just to perform the division.
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The number must be divisible by 13 and by 11.
It is even and the sum of its digits is divisible by 9.
There is no easy rule for divisibility by 34.
if the difference of the sum at the alternate places is divisible by 11 then it is divisible by 11
A number is divisible by 15 if it is divisible by the prime factors of 15, that is, 5 and 3.