It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 12 701 is not a prime number.
For example, 12 701 can be divided by 13: 12 701 / 13 = 977.
For 12 701 to be a prime number, it would have been required that 12 701 has only two divisors, i.e., itself and 1.
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12 701 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 12 701 is about 112.699.
Thus, the square root of 12 701 is not an integer, and therefore 12 701 is not a square number.
The square of a number (here 12 701) is the result of the product of this number (12 701) by itself (i.e., 12 701 × 12 701); the square of 12 701 is sometimes called "raising 12 701 to the power 2", or "12 701 squared".
The square of 12 701 is 161 315 401 because 12 701 × 12 701 = 12 7012 = 161 315 401.
As a consequence, 12 701 is the square root of 161 315 401.
The multiples of 12 701 are all integers evenly divisible by 12 701, that is all numbers such that the remainder of the division by 12 701 is zero. There are infinitely many multiples of 12 701. The smallest multiples of 12 701 are: