2011113202013 has 16 divisors (see below), whose sum is σ = 2134565072640. Its totient is φ = 1888234903296.

The previous prime is 2011113201971. The next prime is 2011113202061. The reversal of 2011113202013 is 3102023111102.

It is a cyclic number.

It is not a de Polignac number, because 2011113202013 - 2¹⁰ = 2011113200989 is a prime.

It is a super-2 number, since 2×2011113202013² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011113201982 and 2011113202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011113202913) 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, 70608131 + ... + 70636607.

It is an arithmetic number, because the mean of its divisors is an integer number (133410317040).

Almost surely, 2^{2011113202013} is an apocalyptic number.

It is an amenable number.

2011113202013 is a deficient number, since it is larger than the sum of its proper divisors (123451870627).

2011113202013 is a wasteful number, since it uses less digits than its factorization.

2011113202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38396.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2011113202013 its reverse (3102023111102), we get a palindrome (5113136313115).

The spelling of 2011113202013 in words is "two trillion, eleven billion, one hundred thirteen million, two hundred two thousand, thirteen".