It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 131 513 is not a prime number.
For example, 131 513 can be divided by 347: 131 513 / 347 = 379.
For 131 513 to be a prime number, it would have been required that 131 513 has only two divisors, i.e., itself and 1.
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131 513 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 131 513 is about 362.647.
Thus, the square root of 131 513 is not an integer, and therefore 131 513 is not a square number.
The square of a number (here 131 513) is the result of the product of this number (131 513) by itself (i.e., 131 513 × 131 513); the square of 131 513 is sometimes called "raising 131 513 to the power 2", or "131 513 squared".
The square of 131 513 is 17 295 669 169 because 131 513 × 131 513 = 131 5132 = 17 295 669 169.
As a consequence, 131 513 is the square root of 17 295 669 169.
The multiples of 131 513 are all integers evenly divisible by 131 513, that is all numbers such that the remainder of the division by 131 513 is zero. There are infinitely many multiples of 131 513. The smallest multiples of 131 513 are: