82931083131 has 16 divisors (see below), whose sum is σ = 125347927040. Its totient is φ = 48348485280.

The previous prime is 82931083129. The next prime is 82931083177. The reversal of 82931083131 is 13138013928.

It is not a de Polignac number, because 82931083131 - 2¹ = 82931083129 is a prime.

It is a super-2 number, since 2×82931083131² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82931083131.

It is not an unprimeable number, because it can be changed into a prime (82931083031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55958155 + ... + 55959636.

It is an arithmetic number, because the mean of its divisors is an integer number (7834245440).

Almost surely, 2^82931083131 is an apocalyptic number.

82931083131 is a deficient number, since it is larger than the sum of its proper divisors (42416843909).

82931083131 is a wasteful number, since it uses less digits than its factorization.

82931083131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111917826.

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 82931083131 in words is "eighty-two billion, nine hundred thirty-one million, eighty-three thousand, one hundred thirty-one".