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13117071131 is a prime number
BaseRepresentation
bin11000011011101011…
…01001111100011011
31020212011002020212022
430031311221330123
5203330432234011
610005332205055
7643024156613
oct141565517433
936764066768
1013117071131
11562127675a
122660a6978b
131310711768
148c6121a43
1551b8798db
hex30dd69f1b

13117071131 has 2 divisors, whose sum is σ = 13117071132. Its totient is φ = 13117071130.

The previous prime is 13117071073. The next prime is 13117071139.

13117071131 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13117071131 - 26 = 13117071067 is a prime.

It is a super-2 number, since 2×131170711312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13117071131.

It is not a weakly prime, because it can be changed into another prime (13117071139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6558535565 + 6558535566.

It is an arithmetic number, because the mean of its divisors is an integer number (6558535566).

Almost surely, 213117071131 is an apocalyptic number.

13117071131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13117071131 is an equidigital number, since it uses as much as digits as its factorization.

13117071131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 26.

The spelling of 13117071131 in words is "thirteen billion, one hundred seventeen million, seventy-one thousand, one hundred thirty-one".