131287106344680 has 192 divisors, whose sum is σ = 501278042603520. Its totient is φ = 29378932876800.

The previous prime is 131287106344657. The next prime is 131287106344739. The reversal of 131287106344680 is 86443601782131.

131287106344680 is a `hidden beast` number, since 1 + 3 + 1 + 287 + 10 + 6 + 344 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1275075816 + ... + 1275178775.

It is an arithmetic number, because the mean of its divisors is an integer number (2610823138560).

Almost surely, 2^{131287106344680} is an apocalyptic number.

131287106344680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131287106344680 is an abundant number, since it is smaller than the sum of its proper divisors (369990936258840).

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

131287106344680 is a wasteful number, since it uses less digits than its factorization.

131287106344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550254632 (or 2550254625 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 131287106344680 in words is "one hundred thirty-one trillion, two hundred eighty-seven billion, one hundred six million, three hundred forty-four thousand, six hundred eighty".