It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 313 is not a prime number.
For example, 130 313 can be divided by 151: 130 313 / 151 = 863.
For 130 313 to be a prime number, it would have been required that 130 313 has only two divisors, i.e., itself and 1.
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130 313 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 130 313 is about 360.989.
Thus, the square root of 130 313 is not an integer, and therefore 130 313 is not a square number.
The square of a number (here 130 313) is the result of the product of this number (130 313) by itself (i.e., 130 313 × 130 313); the square of 130 313 is sometimes called "raising 130 313 to the power 2", or "130 313 squared".
The square of 130 313 is 16 981 477 969 because 130 313 × 130 313 = 130 3132 = 16 981 477 969.
As a consequence, 130 313 is the square root of 16 981 477 969.
The multiples of 130 313 are all integers evenly divisible by 130 313, that is all numbers such that the remainder of the division by 130 313 is zero. There are infinitely many multiples of 130 313. The smallest multiples of 130 313 are: