3131313333312 has 28 divisors (see below), whose sum is σ = 8284933194896. Its totient is φ = 1043771111040.

The previous prime is 3131313333259. The next prime is 3131313333431. The reversal of 3131313333312 is 2133333131313.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3131313333312.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8154461614 + ... + 8154461997.

Almost surely, 2^{3131313333312} is an apocalyptic number.

3131313333312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3131313333312 is an abundant number, since it is smaller than the sum of its proper divisors (5153619861584).

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

3131313333312 is a wasteful number, since it uses less digits than its factorization.

3131313333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308923626 (or 16308923616 counting only the distinct ones).

The product of its digits is 13122, while the sum is 30.

Adding to 3131313333312 its reverse (2133333131313), we get a palindrome (5264646464625).

The spelling of 3131313333312 in words is "three trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred twelve".