3131130012120 has 192 divisors, whose sum is σ = 11754295806240. Its totient is φ = 714411110400.

The previous prime is 3131130012107. The next prime is 3131130012133. The reversal of 3131130012120 is 212100311313.

3131130012120 is a `hidden beast` number, since 31 + 311 + 300 + 1 + 2 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3131130012107) and next prime (3131130012133).

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 = 3131130012093 and 3131130012102.

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 47 ways as a sum of consecutive naturals, for example, 23188251 + ... + 23322890.

Almost surely, 2^{3131130012120} is an apocalyptic number.

3131130012120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131130012120 is an abundant number, since it is smaller than the sum of its proper divisors (8623165794120).

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

3131130012120 is a wasteful number, since it uses less digits than its factorization.

3131130012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46511186 (or 46511179 counting only the distinct ones).

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

Adding to 3131130012120 its reverse (212100311313), we get a palindrome (3343230323433).

The spelling of 3131130012120 in words is "three trillion, one hundred thirty-one billion, one hundred thirty million, twelve thousand, one hundred twenty".