It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 133 513 is not a prime number.
For example, 133 513 can be divided by 19: 133 513 / 19 = 7 027.
For 133 513 to be a prime number, it would have been required that 133 513 has only two divisors, i.e., itself and 1.
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133 513 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 133 513 is about 365.394.
Thus, the square root of 133 513 is not an integer, and therefore 133 513 is not a square number.
The square of a number (here 133 513) is the result of the product of this number (133 513) by itself (i.e., 133 513 × 133 513); the square of 133 513 is sometimes called "raising 133 513 to the power 2", or "133 513 squared".
The square of 133 513 is 17 825 721 169 because 133 513 × 133 513 = 133 5132 = 17 825 721 169.
As a consequence, 133 513 is the square root of 17 825 721 169.
The multiples of 133 513 are all integers evenly divisible by 133 513, that is all numbers such that the remainder of the division by 133 513 is zero. There are infinitely many multiples of 133 513. The smallest multiples of 133 513 are: