3131133103032 has 128 divisors (see below), whose sum is σ = 8851313111040. Its totient is φ = 914779831680.

The previous prime is 3131133102997. The next prime is 3131133103129. The reversal of 3131133103032 is 2303013311313.

It is a super-2 number, since 2×3131133103032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3131133102993 and 3131133103011.

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 31 ways as a sum of consecutive naturals, for example, 1051858 + ... + 2714529.

It is an arithmetic number, because the mean of its divisors is an integer number (69150883680).

Almost surely, 2^{3131133103032} is an apocalyptic number.

It is an amenable number.

3131133103032 is an abundant number, since it is smaller than the sum of its proper divisors (5720180008008).

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

3131133103032 is a wasteful number, since it uses less digits than its factorization.

3131133103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766521 (or 3766517 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 3131133103032 its reverse (2303013311313), we get a palindrome (5434146414345).

The spelling of 3131133103032 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred three thousand, thirty-two".