31311321120 has 120 divisors (see below), whose sum is σ = 110502916524. Its totient is φ = 8349682176.

The previous prime is 31311321113. The next prime is 31311321121. The reversal of 31311321120 is 2112311313.

31311321120 is a `hidden beast` number, since 31 + 311 + 321 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29723139216 + 1588181904 = 172404^2 + 39852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 31311321093 and 31311321102.

It is not an unprimeable number, because it can be changed into a prime (31311321121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1195039 + ... + 1220958.

Almost surely, 2^31311321120 is an apocalyptic number.

31311321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31311321120 is an abundant number, since it is smaller than the sum of its proper divisors (79191595404).

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

31311321120 is a wasteful number, since it uses less digits than its factorization.

31311321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416024 (or 2416007 counting only the distinct ones).

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

Adding to 31311321120 its reverse (2112311313), we get a palindrome (33423632433).

The spelling of 31311321120 in words is "thirty-one billion, three hundred eleven million, three hundred twenty-one thousand, one hundred twenty".