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131331000221957 is a prime number
BaseRepresentation
bin11101110111000111100001…
…100111011100000100000101
3122020000010021012202011221202
4131313013201213130010011
5114203211342024100312
61143152343435552245
736443231421006044
oct3567074147340405
9566003235664852
10131331000221957
1138934189918a68
12128909b22bb685
1358385ca02b913
14246065095a55b
15102b349d1e9c2
hex7771e19dc105

131331000221957 has 2 divisors, whose sum is σ = 131331000221958. Its totient is φ = 131331000221956.

The previous prime is 131331000221951. The next prime is 131331000221989. The reversal of 131331000221957 is 759122000133131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110517933588001 + 20813066633956 = 10512751^2 + 4562134^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331000221957 - 236 = 131262280745221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131331000221957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131331000221951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665500110978 + 65665500110979.

It is an arithmetic number, because the mean of its divisors is an integer number (65665500110979).

Almost surely, 2131331000221957 is an apocalyptic number.

It is an amenable number.

131331000221957 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331000221957 is an equidigital number, since it uses as much as digits as its factorization.

131331000221957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 131331000221957 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred twenty-one thousand, nine hundred fifty-seven".