131051964121 has 9 divisors (see below), whose sum is σ = 141913436031. Its totient is φ = 120966699672.

The previous prime is 131051964107. The next prime is 131051964167. The reversal of 131051964121 is 121469150131.

It is a happy number.

The square root of 131051964121 is 362011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19386385225 + 111665578896 = 139235^2 + 334164^2 .

It is not a de Polignac number, because 131051964121 - 2²⁹ = 130515093209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131051964191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4692220 + ... + 4720066.

It is an arithmetic number, because the mean of its divisors is an integer number (15768159559).

Almost surely, 2^131051964121 is an apocalyptic number.

131051964121 is the 362011-st square number.

131051964121 is the 181006-th centered octagonal number.

It is an amenable number.

131051964121 is a deficient number, since it is larger than the sum of its proper divisors (10861471910).

131051964121 is an frugal number, since it uses more digits than its factorization.

131051964121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55720 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 131051964121 in words is "one hundred thirty-one billion, fifty-one million, nine hundred sixty-four thousand, one hundred twenty-one".