31100080992 has 96 divisors (see below), whose sum is σ = 86069329920. Its totient is φ = 9805662720.

The previous prime is 31100080967. The next prime is 31100081017. The reversal of 31100080992 is 29908000113.

It is an interprime number because it is at equal distance from previous prime (31100080967) and next prime (31100081017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1178017 + ... + 1204127.

It is an arithmetic number, because the mean of its divisors is an integer number (896555520).

Almost surely, 2^31100080992 is an apocalyptic number.

31100080992 is a gapful number since it is divisible by the number (32) 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 31100080992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43034664960).

31100080992 is an abundant number, since it is smaller than the sum of its proper divisors (54969248928).

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

31100080992 is a wasteful number, since it uses less digits than its factorization.

31100080992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26796 (or 26788 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 31100080992 in words is "thirty-one billion, one hundred million, eighty thousand, nine hundred ninety-two".