2013033112313 has 16 divisors (see below), whose sum is σ = 2185104890304. Its totient is φ = 1846994096640.

The previous prime is 2013033112289. The next prime is 2013033112327. The reversal of 2013033112313 is 3132113303102.

It is a cyclic number.

It is not a de Polignac number, because 2013033112313 - 2³⁰ = 2011959370489 is a prime.

It is a super-2 number, since 2×2013033112313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013033142313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193895 + ... + 2015852.

It is an arithmetic number, because the mean of its divisors is an integer number (136569055644).

Almost surely, 2^{2013033112313} is an apocalyptic number.

It is an amenable number.

2013033112313 is a deficient number, since it is larger than the sum of its proper divisors (172071777991).

2013033112313 is a wasteful number, since it uses less digits than its factorization.

2013033112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211112.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2013033112313 its reverse (3132113303102), we get a palindrome (5145146415415).

The spelling of 2013033112313 in words is "two trillion, thirteen billion, thirty-three million, one hundred twelve thousand, three hundred thirteen".