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1312331013113 is a prime number
BaseRepresentation
bin10011000110001101000…
…001100001101111111001
311122110100121022211012112
4103012031001201233321
5133000123214404423
62442513200022105
7163545533363051
oct23061501415771
94573317284175
101312331013113
1146661370a91a
12192409001935
13969a19c7bc3
1447735130561
152420b77da78
hex1318d061bf9

1312331013113 has 2 divisors, whose sum is σ = 1312331013114. Its totient is φ = 1312331013112.

The previous prime is 1312331013109. The next prime is 1312331013121. The reversal of 1312331013113 is 3113101332131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 791836581904 + 520494431209 = 889852^2 + 721453^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312331013113 - 22 = 1312331013109 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312331010113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656165506556 + 656165506557.

It is an arithmetic number, because the mean of its divisors is an integer number (656165506557).

Almost surely, 21312331013113 is an apocalyptic number.

It is an amenable number.

1312331013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312331013113 is an equidigital number, since it uses as much as digits as its factorization.

1312331013113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1312331013113 its reverse (3113101332131), we get a palindrome (4425432345244).

The spelling of 1312331013113 in words is "one trillion, three hundred twelve billion, three hundred thirty-one million, thirteen thousand, one hundred thirteen".