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13713186131 is a prime number
BaseRepresentation
bin11001100010101111…
…01001110101010011
31022101200210000220122
430301113221311103
5211041033424011
610144425100455
7663553105331
oct146127516523
938350700818
1013713186131
1158a7810787
1227a862772b
1313a7079c28
14941376b51
15553d7b3db
hex3315e9d53

13713186131 has 2 divisors, whose sum is σ = 13713186132. Its totient is φ = 13713186130.

The previous prime is 13713186121. The next prime is 13713186197. The reversal of 13713186131 is 13168131731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13713186131 - 210 = 13713185107 is a prime.

It is a super-2 number, since 2×137131861312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13713186091 and 13713186100.

It is not a weakly prime, because it can be changed into another prime (13713186101) 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, 6856593065 + 6856593066.

It is an arithmetic number, because the mean of its divisors is an integer number (6856593066).

Almost surely, 213713186131 is an apocalyptic number.

13713186131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13713186131 is an equidigital number, since it uses as much as digits as its factorization.

13713186131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 35.

The spelling of 13713186131 in words is "thirteen billion, seven hundred thirteen million, one hundred eighty-six thousand, one hundred thirty-one".