It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 013 is not a prime number.
For example, 330 013 can be divided by 523: 330 013 / 523 = 631.
For 330 013 to be a prime number, it would have been required that 330 013 has only two divisors, i.e., itself and 1.
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330 013 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 330 013 is about 574.468.
Thus, the square root of 330 013 is not an integer, and therefore 330 013 is not a square number.
The square of a number (here 330 013) is the result of the product of this number (330 013) by itself (i.e., 330 013 × 330 013); the square of 330 013 is sometimes called "raising 330 013 to the power 2", or "330 013 squared".
The square of 330 013 is 108 908 580 169 because 330 013 × 330 013 = 330 0132 = 108 908 580 169.
As a consequence, 330 013 is the square root of 108 908 580 169.
The multiples of 330 013 are all integers evenly divisible by 330 013, that is all numbers such that the remainder of the division by 330 013 is zero. There are infinitely many multiples of 330 013. The smallest multiples of 330 013 are: