2013301333113 has 16 divisors (see below), whose sum is σ = 3070002118656. Its totient is φ = 1149665014800.

The previous prime is 2013301333051. The next prime is 2013301333117. The reversal of 2013301333113 is 3113331033102.

It is not a de Polignac number, because 2013301333113 - 2¹⁰ = 2013301332089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013301333117) 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, 33005881 + ... + 33066822.

It is an arithmetic number, because the mean of its divisors is an integer number (191875132416).

Almost surely, 2^{2013301333113} is an apocalyptic number.

It is an amenable number.

2013301333113 is a deficient number, since it is larger than the sum of its proper divisors (1056700785543).

2013301333113 is a wasteful number, since it uses less digits than its factorization.

2013301333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66074164.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 2013301333113 its reverse (3113331033102), we get a palindrome (5126632366215).

The spelling of 2013301333113 in words is "two trillion, thirteen billion, three hundred one million, three hundred thirty-three thousand, one hundred thirteen".