3131133323013 has 12 divisors (see below), whose sum is σ = 4522946735008. Its totient is φ = 2087330553000.

The previous prime is 3131133322997. The next prime is 3131133323027. The reversal of 3131133323013 is 3103233311313.

3131133323013 is a `hidden beast` number, since 3 + 1 + 311 + 3 + 332 + 3 + 0 + 13 = 666.

It is not a de Polignac number, because 3131133323013 - 2⁴ = 3131133322997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131133323083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7421863 + ... + 7832388.

Almost surely, 2^{3131133323013} is an apocalyptic number.

It is an amenable number.

3131133323013 is a deficient number, since it is larger than the sum of its proper divisors (1391813411995).

3131133323013 is a wasteful number, since it uses less digits than its factorization.

3131133323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277064 (or 15277061 counting only the distinct ones).

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

Adding to 3131133323013 its reverse (3103233311313), we get a palindrome (6234366634326).

The spelling of 3131133323013 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-three thousand, thirteen".