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131141112022981 is a prime number
BaseRepresentation
bin11101110100010110101011…
…011001011100011111000101
3122012022222010120121012202101
4131310112223121130133011
5114142103444134213411
61142525221204512101
736423430002646354
oct3564265331343705
9565288116535671
10131141112022981
11388706a6993615
12128600390ab631
135823727912c78
1424553997c199b
15102643448e8c1
hex7745ab65c7c5

131141112022981 has 2 divisors, whose sum is σ = 131141112022982. Its totient is φ = 131141112022980.

The previous prime is 131141112022969. The next prime is 131141112023011. The reversal of 131141112022981 is 189220211141131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123506992756900 + 7634119266081 = 11113370^2 + 2762991^2 .

It is a cyclic number.

It is not a de Polignac number, because 131141112022981 - 29 = 131141112022469 is a prime.

It is a super-3 number, since 3×1311411120229813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131141112022981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131141112022381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65570556011490 + 65570556011491.

It is an arithmetic number, because the mean of its divisors is an integer number (65570556011491).

Almost surely, 2131141112022981 is an apocalyptic number.

It is an amenable number.

131141112022981 is a deficient number, since it is larger than the sum of its proper divisors (1).

131141112022981 is an equidigital number, since it uses as much as digits as its factorization.

131141112022981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 37.

The spelling of 131141112022981 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, twenty-two thousand, nine hundred eighty-one".