31113120 has 96 divisors (see below), whose sum is σ = 99937152. Its totient is φ = 8133632.

The previous prime is 31113113. The next prime is 31113167. The reversal of 31113120 is 2131113.

31113120 = 202² + 203² + ... + 466².

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

It is a super-2 number, since 2×31113120² = 1936052472268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31113096 and 31113105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24829 + ... + 26051.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012).

Almost surely, 2^31113120 is an apocalyptic number.

31113120 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 31113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968576).

31113120 is an abundant number, since it is smaller than the sum of its proper divisors (68824032).

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

31113120 is a wasteful number, since it uses less digits than its factorization.

31113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 31113120 is about 5577.9135884307. The cubic root of 31113120 is about 314.5197013918.

Adding to 31113120 its reverse (2131113), we get a palindrome (33244233).

It can be divided in two parts, 311 and 13120, that added together give a palindrome (13431).

The spelling of 31113120 in words is "thirty-one million, one hundred thirteen thousand, one hundred twenty".