The number 1563241234351 is:

1+6+2+1+3+3+1 = 17

5+3+4+2+4+5 = 23

The number is not divisible by 11 because the sum of alternative numbers is not equal to the sum of another alternative numbers.

rule of divisibility by 3 - 

if sum of all digit of a number is divisible by 3 then number is divisible by 3.

1+5+6+3+2+4+1+2+3+4+3+5+1 = 40

The number not divisible by 3 because 40 is not divisible by 3.

The number neither divisible by 3 nor by 11.