2013300333113 has 6 divisors (see below), whose sum is σ = 2124840518154. Its totient is φ = 1907337157344.

The previous prime is 2013300333071. The next prime is 2013300333197. The reversal of 2013300333113 is 3113330033102.

It can be written as a sum of positive squares in only one way, i.e., 2012094021289 + 1206311824 = 1418483^2 + 34732^2 .

It is not a de Polignac number, because 2013300333113 - 2⁴⁰ = 913788705337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013300338113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2788504256 + ... + 2788504977.

It is an arithmetic number, because the mean of its divisors is an integer number (354140086359).

Almost surely, 2^{2013300333113} is an apocalyptic number.

It is an amenable number.

2013300333113 is a deficient number, since it is larger than the sum of its proper divisors (111540185041).

2013300333113 is an equidigital number, since it uses as much as digits as its factorization.

2013300333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577009271 (or 5577009252 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 2013300333113 its reverse (3113330033102), we get a palindrome (5126630366215).

The spelling of 2013300333113 in words is "two trillion, thirteen billion, three hundred million, three hundred thirty-three thousand, one hundred thirteen".