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131231334022993 is a prime number
BaseRepresentation
bin11101110101101010101101…
…000011000011111101010001
3122012122121000022012200122101
4131311222231003003331101
5114200043233002213433
61143034501555240401
736433102536206311
oct3565525503037521
9565577008180571
10131231334022993
11388a5994953596
12128756182a9101
13582c0a57230a9
1424598b7d8b441
15102896506e07d
hex775aad0c3f51

131231334022993 has 2 divisors, whose sum is σ = 131231334022994. Its totient is φ = 131231334022992.

The previous prime is 131231334022969. The next prime is 131231334023029. The reversal of 131231334022993 is 399220433132131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102343632949009 + 28887701073984 = 10116503^2 + 5374728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131231334022993 is a prime.

It is not a weakly prime, because it can be changed into another prime (131231334022903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65615667011496 + 65615667011497.

It is an arithmetic number, because the mean of its divisors is an integer number (65615667011497).

Almost surely, 2131231334022993 is an apocalyptic number.

It is an amenable number.

131231334022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131231334022993 is an equidigital number, since it uses as much as digits as its factorization.

131231334022993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 131231334022993 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, three hundred thirty-four million, twenty-two thousand, nine hundred ninety-three".