Is 13337113 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 13 337 113 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 13 337 113, the only two divisors are 1 and 13 337 113. Therefore 13 337 113 is a prime number.
As a consequence, 13 337 113 is only a multiple of 1 and 13 337 113.
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Since 13337113 is a prime number, 13337113 is also a deficient number, that is to say 13337113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 13337113 without 13337113 itself (that is 1, by definition!).