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13013113291 is a prime number
BaseRepresentation
bin11000001111010010…
…00101100111001011
31020120220110122111221
430013221011213023
5203122324111131
65551140102511
7640322431543
oct140751054713
936526418457
1013013113291
115578621692
122632094a37
1312c5013649
148b63c0323
15512692411
hex307a459cb

13013113291 has 2 divisors, whose sum is σ = 13013113292. Its totient is φ = 13013113290.

The previous prime is 13013113283. The next prime is 13013113387. The reversal of 13013113291 is 19231131031.

13013113291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13013113291 - 23 = 13013113283 is a prime.

It is a super-2 number, since 2×130131132912 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13013113261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506556645 + 6506556646.

It is an arithmetic number, because the mean of its divisors is an integer number (6506556646).

Almost surely, 213013113291 is an apocalyptic number.

13013113291 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013113291 is an equidigital number, since it uses as much as digits as its factorization.

13013113291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 13013113291 in words is "thirteen billion, thirteen million, one hundred thirteen thousand, two hundred ninety-one".