Is 33120013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 120 013 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 33 120 013, the only two divisors are 1 and 33 120 013. Therefore 33 120 013 is a prime number.
As a consequence, 33 120 013 is only a multiple of 1 and 33 120 013.
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Since 33120013 is a prime number, 33120013 is also a deficient number, that is to say 33120013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33120013 without 33120013 itself (that is 1, by definition!).