This number added to it’s square, and the digits of that summation added together, bring it back to itself. What is the number?

Find a two-digit number so that when the digits are added together the answer is one half of the answer you get when the 2 digits are multiplied together.

Find a two digit number, so that when the digits are added together the answer is one third of the answer when the 2 digits are multiplied together.

What is the number if it divides exactly by 13 and when you write its digits in reverse order you make a square number. (You get a square number when you multiply a number by itself - 64 is square because it is 8 times 8)