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131111201221129 is a prime number
BaseRepresentation
bin11101110011111010110100…
…100100110010101000001001
3122012020002221001011001020101
4131303322310210302220021
5114141111220003034004
61142503353200325401
736421320535223413
oct3563726444625011
9565202831131211
10131111201221129
1138859a48033468
1212856290013861
13582096bb7bb4c
142453b5d1559b3
1510257835d4ba4
hex773eb4932a09

131111201221129 has 2 divisors, whose sum is σ = 131111201221130. Its totient is φ = 131111201221128.

The previous prime is 131111201221081. The next prime is 131111201221139. The reversal of 131111201221129 is 921122102111131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126155577610000 + 4955623611129 = 11231900^2 + 2226123^2 .

It is a cyclic number.

It is not a de Polignac number, because 131111201221129 - 225 = 131111167666697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131111201221097 and 131111201221106.

It is not a weakly prime, because it can be changed into another prime (131111201221139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65555600610564 + 65555600610565.

It is an arithmetic number, because the mean of its divisors is an integer number (65555600610565).

Almost surely, 2131111201221129 is an apocalyptic number.

It is an amenable number.

131111201221129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131111201221129 is an equidigital number, since it uses as much as digits as its factorization.

131111201221129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 131111201221129 in words is "one hundred thirty-one trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-nine".