It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 331 109 is not a prime number.
For example, 331 109 can be divided by 17: 331 109 / 17 = 19 477.
For 331 109 to be a prime number, it would have been required that 331 109 has only two divisors, i.e., itself and 1.
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331 109 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 331 109 is about 575.421.
Thus, the square root of 331 109 is not an integer, and therefore 331 109 is not a square number.
The square of a number (here 331 109) is the result of the product of this number (331 109) by itself (i.e., 331 109 × 331 109); the square of 331 109 is sometimes called "raising 331 109 to the power 2", or "331 109 squared".
The square of 331 109 is 109 633 169 881 because 331 109 × 331 109 = 331 1092 = 109 633 169 881.
As a consequence, 331 109 is the square root of 109 633 169 881.
The multiples of 331 109 are all integers evenly divisible by 331 109, that is all numbers such that the remainder of the division by 331 109 is zero. There are infinitely many multiples of 331 109. The smallest multiples of 331 109 are: