3131202120000 has 1120 divisors, whose sum is σ = 11499470991360. Its totient is φ = 748154880000.

The previous prime is 3131202119959. The next prime is 3131202120037. The reversal of 3131202120000 is 212021313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4237079631 + ... + 4237080369.

Almost surely, 2^{3131202120000} is an apocalyptic number.

3131202120000 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 3131202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749735495680).

3131202120000 is an abundant number, since it is smaller than the sum of its proper divisors (8368268871360).

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

3131202120000 is a wasteful number, since it uses less digits than its factorization.

3131202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3131202120000 its reverse (212021313), we get a palindrome (3131414141313).

The spelling of 3131202120000 in words is "three trillion, one hundred thirty-one billion, two hundred two million, one hundred twenty thousand".