131272730125 has 32 divisors (see below), whose sum is σ = 168955753824. Its totient is φ = 101755008000.

The previous prime is 131272730111. The next prime is 131272730177. The reversal of 131272730125 is 521037272131.

It can be written as a sum of positive squares in 16 ways, for example, as 59792964676 + 71479765449 = 244526^2 + 267357^2 .

It is not a de Polignac number, because 131272730125 - 2⁷ = 131272729997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1055739 + ... + 1173511.

It is an arithmetic number, because the mean of its divisors is an integer number (5279867307).

Almost surely, 2^131272730125 is an apocalyptic number.

It is an amenable number.

131272730125 is a deficient number, since it is larger than the sum of its proper divisors (37683023699).

131272730125 is a wasteful number, since it uses less digits than its factorization.

131272730125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118066 (or 118056 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 131272730125 in words is "one hundred thirty-one billion, two hundred seventy-two million, seven hundred thirty thousand, one hundred twenty-five".