131169264865920 has 896 divisors, whose sum is σ = 498431051370000. Its totient is φ = 32879553675264.

The previous prime is 131169264865823. The next prime is 131169264865973. The reversal of 131169264865920 is 29568462961131.

131169264865920 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 69 + 2 + 6 + 486 + 5 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51021077553216 + 80148187312704 = 7142904^2 + 8952552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6575220106 + ... + 6575240054.

Almost surely, 2^{131169264865920} is an apocalyptic number.

131169264865920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131169264865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249215525685000).

131169264865920 is an abundant number, since it is smaller than the sum of its proper divisors (367261786504080).

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

131169264865920 is an equidigital number, since it uses as much as digits as its factorization.

131169264865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20832 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 131169264865920 in words is "one hundred thirty-one trillion, one hundred sixty-nine billion, two hundred sixty-four million, eight hundred sixty-five thousand, nine hundred twenty".