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13313503013 is a prime number
BaseRepresentation
bin11000110011000101…
…11110111100100101
31021100211201000202012
430121202332330211
5204231224044023
610041030324005
7650630623406
oct143142767445
937324630665
1013313503013
115712141958
1226b67b9605
131342319945
149042559ad
1552dc2b978
hex3198bef25

13313503013 has 2 divisors, whose sum is σ = 13313503014. Its totient is φ = 13313503012.

The previous prime is 13313503003. The next prime is 13313503037. The reversal of 13313503013 is 31030531331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13171464289 + 142038724 = 114767^2 + 11918^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313503013 - 214 = 13313486629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13313503013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313503003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656751506 + 6656751507.

It is an arithmetic number, because the mean of its divisors is an integer number (6656751507).

Almost surely, 213313503013 is an apocalyptic number.

It is an amenable number.

13313503013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313503013 is an equidigital number, since it uses as much as digits as its factorization.

13313503013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 23.

The spelling of 13313503013 in words is "thirteen billion, three hundred thirteen million, five hundred three thousand, thirteen".