31112313120 has 288 divisors, whose sum is σ = 123329606400. Its totient is φ = 6994667520.

The previous prime is 31112313083. The next prime is 31112313137. The reversal of 31112313120 is 2131321113.

31112313120 is a `hidden beast` number, since 311 + 1 + 231 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31112313093 and 31112313102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589581 + ... + 640179.

It is an arithmetic number, because the mean of its divisors is an integer number (428227800).

Almost surely, 2^31112313120 is an apocalyptic number.

31112313120 is a gapful number since it is divisible by the number (30) 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 31112313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61664803200).

31112313120 is an abundant number, since it is smaller than the sum of its proper divisors (92217293280).

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

31112313120 is a wasteful number, since it uses less digits than its factorization.

31112313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50688 (or 50677 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31112313120 its reverse (2131321113), we get a palindrome (33243634233).

The spelling of 31112313120 in words is "thirty-one billion, one hundred twelve million, three hundred thirteen thousand, one hundred twenty".