83131331113152 has 672 divisors, whose sum is σ = 283496048769024. Its totient is φ = 23660414668800.

The previous prime is 83131331113123. The next prime is 83131331113163. The reversal of 83131331113152 is 25131113313138.

83131331113152 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 1 + 331 + 1 + 1 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×83131331113152³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 51283978902 + ... + 51283980522.

It is an arithmetic number, because the mean of its divisors is an integer number (421869120192).

Almost surely, 2^{83131331113152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83131331113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141748024384512).

83131331113152 is an abundant number, since it is smaller than the sum of its proper divisors (200364717655872).

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

83131331113152 is a wasteful number, since it uses less digits than its factorization.

83131331113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3157 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 83131331113152 in words is "eighty-three trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred fifty-two".