131020851316356 has 81 divisors (see below), whose sum is σ = 343917128682309. Its totient is φ = 43672998998016.

The previous prime is 131020851316343. The next prime is 131020851316361. The reversal of 131020851316356 is 653613158020131.

The square root of 131020851316356 is 11446434.

It is a perfect power (a square), and thus also a powerful number.

131020851316356 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 0 + 8 + 5 + 1 + 3 + 1 + 635 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123989783904900 + 7031067411456 = 11135070^2 + 2651616^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1854286980 + ... + 1854357636.

Almost surely, 2^{131020851316356} is an apocalyptic number.

131020851316356 is the 11446434-th square number.

It is an amenable number.

131020851316356 is an abundant number, since it is smaller than the sum of its proper divisors (212896277365953).

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

131020851316356 is an frugal number, since it uses more digits than its factorization.

131020851316356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141342 (or 70662 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131020851316356 in words is "one hundred thirty-one trillion, twenty billion, eight hundred fifty-one million, three hundred sixteen thousand, three hundred fifty-six".