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12313121023081 is a prime number
BaseRepresentation
bin1011001100101101111100…
…1101000110010001101001
31121121010022120112011110101
42303023133031012101221
53103214232440214311
642104323020145401
72410410421544434
oct263133715062151
947533276464411
1012313121023081
113a17a688a6a2a
12146a447398261
136b41789b4978
14307d5b59081b
1516545c489ec1
hexb32df346469

12313121023081 has 2 divisors, whose sum is σ = 12313121023082. Its totient is φ = 12313121023080.

The previous prime is 12313121022959. The next prime is 12313121023111. The reversal of 12313121023081 is 18032012131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11930696279056 + 382424744025 = 3454084^2 + 618405^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313121023081 - 27 = 12313121022953 is a prime.

It is a super-2 number, since 2×123131210230812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313121023981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156560511540 + 6156560511541.

It is an arithmetic number, because the mean of its divisors is an integer number (6156560511541).

Almost surely, 212313121023081 is an apocalyptic number.

It is an amenable number.

12313121023081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313121023081 is an equidigital number, since it uses as much as digits as its factorization.

12313121023081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 12313121023081 in words is "twelve trillion, three hundred thirteen billion, one hundred twenty-one million, twenty-three thousand, eighty-one".