131020027531776 has 140 divisors (see below), whose sum is σ = 392496685800582. Its totient is φ = 43673342386176.

The previous prime is 131020027531717. The next prime is 131020027531819. The reversal of 131020027531776 is 677135720020131.

131020027531776 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 20 + 0 + 27 + 531 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75210521760000 + 55809505771776 = 8672400^2 + 7470576^2 .

It is a super-2 number, since 2×131020027531776² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 175140121 + ... + 175886616.

Almost surely, 2^{131020027531776} is an apocalyptic number.

131020027531776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131020027531776 is an abundant number, since it is smaller than the sum of its proper divisors (261476658268806).

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

131020027531776 is an frugal number, since it uses more digits than its factorization.

131020027531776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351026773 (or 351026742 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 131020027531776 in words is "one hundred thirty-one trillion, twenty billion, twenty-seven million, five hundred thirty-one thousand, seven hundred seventy-six".