31113132120 has 192 divisors, whose sum is σ = 117921960000. Its totient is φ = 7111544832.

The previous prime is 31113132107. The next prime is 31113132139. The reversal of 31113132120 is 2123131113.

31113132120 is a `hidden beast` number, since 311 + 1 + 31 + 321 + 2 + 0 = 666.

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 = 31113132093 and 31113132102.

It is a congruent number.

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, 2505 + ... + 249464.

It is an arithmetic number, because the mean of its divisors is an integer number (614176875).

Almost surely, 2^31113132120 is an apocalyptic number.

31113132120 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 31113132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960980000).

31113132120 is an abundant number, since it is smaller than the sum of its proper divisors (86808827880).

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

31113132120 is a wasteful number, since it uses less digits than its factorization.

31113132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252007 (or 251986 counting only the distinct ones).

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

Adding to 31113132120 its reverse (2123131113), we get a palindrome (33236263233).

The spelling of 31113132120 in words is "thirty-one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred twenty".