3133332131013 has 48 divisors (see below), whose sum is σ = 5212077351936. Its totient is φ = 1776821080320.

The previous prime is 3133332130931. The next prime is 3133332131053. The reversal of 3133332131013 is 3101312333313.

3133332131013 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 332 + 1 + 310 + 13 = 666.

It is not a de Polignac number, because 3133332131013 - 2⁸ = 3133332130757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133332131053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4101753 + ... + 4805313.

It is an arithmetic number, because the mean of its divisors is an integer number (108584944832).

Almost surely, 2^{3133332131013} is an apocalyptic number.

It is an amenable number.

3133332131013 is a deficient number, since it is larger than the sum of its proper divisors (2078745220923).

3133332131013 is a wasteful number, since it uses less digits than its factorization.

3133332131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704114 (or 704111 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3133332131013 its reverse (3101312333313), we get a palindrome (6234644464326).

The spelling of 3133332131013 in words is "three trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred thirty-one thousand, thirteen".