131122154404125 has 48 divisors (see below), whose sum is σ = 250273627454448. Its totient is φ = 65818179456000.

The previous prime is 131122154404079. The next prime is 131122154404133. The reversal of 131122154404125 is 521404451221131.

131122154404125 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 221 + 5 + 4 + 404 + 1 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11346947201529 + 119775207202596 = 3368523^2 + 10944186^2 .

It is not a de Polignac number, because 131122154404125 - 2⁸ = 131122154403869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131122154404125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3428011056 + ... + 3428049305.

It is an arithmetic number, because the mean of its divisors is an integer number (5214033905301).

Almost surely, 2^{131122154404125} is an apocalyptic number.

131122154404125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131122154404125 is a deficient number, since it is larger than the sum of its proper divisors (119151473050323).

131122154404125 is a wasteful number, since it uses less digits than its factorization.

131122154404125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856060399 (or 6856060386 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 131122154404125 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred fifty-four million, four hundred four thousand, one hundred twenty-five".