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13013310131 is a prime number
BaseRepresentation
bin11000001111010011…
…10101101010110011
31020120220211122112022
430013221311222303
5203122401411011
65551144222055
7640324211453
oct140751655263
936526748468
1013013310131
115578746568
12263216a92b
1312c5082113
148b6431d63
155126d08db
hex307a75ab3

13013310131 has 2 divisors, whose sum is σ = 13013310132. Its totient is φ = 13013310130.

The previous prime is 13013310097. The next prime is 13013310137. The reversal of 13013310131 is 13101331031.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13013310131 - 26 = 13013310067 is a prime.

It is a super-2 number, since 2×130133101312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13013310137) 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, 6506655065 + 6506655066.

It is an arithmetic number, because the mean of its divisors is an integer number (6506655066).

Almost surely, 213013310131 is an apocalyptic number.

13013310131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013310131 is an equidigital number, since it uses as much as digits as its factorization.

13013310131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13013310131 its reverse (13101331031), we get a palindrome (26114641162).

The spelling of 13013310131 in words is "thirteen billion, thirteen million, three hundred ten thousand, one hundred thirty-one".