3313131310013 has 16 divisors (see below), whose sum is σ = 3869771068800. Its totient is φ = 2777839790400.

The previous prime is 3313131310009. The next prime is 3313131310121. The reversal of 3313131310013 is 3100131313133.

3313131310013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3313131310013 - 2² = 3313131310009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313131310813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21356663 + ... + 21511236.

It is an arithmetic number, because the mean of its divisors is an integer number (241860691800).

Almost surely, 2^{3313131310013} is an apocalyptic number.

It is an amenable number.

3313131310013 is a deficient number, since it is larger than the sum of its proper divisors (556639758787).

3313131310013 is a wasteful number, since it uses less digits than its factorization.

3313131310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42868148.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 3313131310013 its reverse (3100131313133), we get a palindrome (6413262623146).

The spelling of 3313131310013 in words is "three trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred ten thousand, thirteen".