131565256126100 has 72 divisors (see below), whose sum is σ = 303960637883448. Its totient is φ = 49256800358400.

The previous prime is 131565256126093. The next prime is 131565256126141. The reversal of 131565256126100 is 1621652565131.

It can be written as a sum of positive squares in 12 ways, for example, as 65876241150724 + 65689014975376 = 8116418^2 + 8104876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213480497 + ... + 214095896.

It is an arithmetic number, because the mean of its divisors is an integer number (4221675526159).

Almost surely, 2^{131565256126100} is an apocalyptic number.

131565256126100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131565256126100 is an abundant number, since it is smaller than the sum of its proper divisors (172395381757348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131565256126100 is a wasteful number, since it uses less digits than its factorization.

131565256126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427576605 (or 427576598 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 131565256126100 in words is "one hundred thirty-one trillion, five hundred sixty-five billion, two hundred fifty-six million, one hundred twenty-six thousand, one hundred".