3131121133200 has 120 divisors (see below), whose sum is σ = 10053964317600. Its totient is φ = 832972743680.

The previous prime is 3131121133199. The next prime is 3131121133211. The reversal of 3131121133200 is 23311211313.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 2610885 + ... + 3616484.

It is an arithmetic number, because the mean of its divisors is an integer number (83783035980).

Almost surely, 2^{3131121133200} is an apocalyptic number.

3131121133200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131121133200 is an abundant number, since it is smaller than the sum of its proper divisors (6922843184400).

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

3131121133200 is a wasteful number, since it uses less digits than its factorization.

3131121133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227809 (or 6227798 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3131121133200 its reverse (23311211313), we get a palindrome (3154432344513).

The spelling of 3131121133200 in words is "three trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred".