131020833024 has 81 divisors (see below), whose sum is σ = 377815463389. Its totient is φ = 43667819520.

The previous prime is 131020832951. The next prime is 131020833029. The reversal of 131020833024 is 420338020131.

The square root of 131020833024 is 361968.

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

It can be written as a sum of positive squares in only one way, i.e., 14876193024 + 116144640000 = 121968^2 + 340800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020833029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17370694 + ... + 17378234.

Almost surely, 2^131020833024 is an apocalyptic number.

131020833024 is the 361968-th square number.

It is an amenable number.

131020833024 is an abundant number, since it is smaller than the sum of its proper divisors (246794630365).

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

131020833024 is an frugal number, since it uses more digits than its factorization.

131020833024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131020833024 its reverse (420338020131), we get a palindrome (551358853155).

The spelling of 131020833024 in words is "one hundred thirty-one billion, twenty million, eight hundred thirty-three thousand, twenty-four".