It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 130 309 is not a prime number.
For example, 130 309 can be divided by 311: 130 309 / 311 = 419.
For 130 309 to be a prime number, it would have been required that 130 309 has only two divisors, i.e., itself and 1.
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130 309 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 130 309 is about 360.983.
Thus, the square root of 130 309 is not an integer, and therefore 130 309 is not a square number.
The square of a number (here 130 309) is the result of the product of this number (130 309) by itself (i.e., 130 309 × 130 309); the square of 130 309 is sometimes called "raising 130 309 to the power 2", or "130 309 squared".
The square of 130 309 is 16 980 435 481 because 130 309 × 130 309 = 130 3092 = 16 980 435 481.
As a consequence, 130 309 is the square root of 16 980 435 481.
The multiples of 130 309 are all integers evenly divisible by 130 309, that is all numbers such that the remainder of the division by 130 309 is zero. There are infinitely many multiples of 130 309. The smallest multiples of 130 309 are: