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No.
Since the number is halved when reduced by 13, then the number must be twice 13 = 26.
No. A prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. 13 is only divisible by 1 and itself (13). 14 is also divisible by 2 and 7, therefor is not a prime number.
No, it is not. A natural number is a positive integer.3*3 = 9 and 4*4 = 16 and there is no natural number between 3 and 4. Therefore there is no natural number which, when squared, will give 13.
There is nothing strange about the number 13. It is a natural number. It is a prime number but there are an infinite amount of those. There are some silly superstitions associated with it.