2011113013 has 24 divisors (see below), whose sum is σ = 2492641536. Its totient is φ = 1588766400.

The previous prime is 2011113011. The next prime is 2011113019. The reversal of 2011113013 is 3103111102.

It is not a de Polignac number, because 2011113013 - 2¹ = 2011113011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2011112984 and 2011113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011113011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1455583 + ... + 1456963.

It is an arithmetic number, because the mean of its divisors is an integer number (103860064).

Almost surely, 2^2011113013 is an apocalyptic number.

It is an amenable number.

2011113013 is a deficient number, since it is larger than the sum of its proper divisors (481528523).

2011113013 is a wasteful number, since it uses less digits than its factorization.

2011113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2011113013 is about 44845.4346951839. The cubic root of 2011113013 is about 1262.2503274929.

Adding to 2011113013 its reverse (3103111102), we get a palindrome (5114224115).

It can be divided in two parts, 20111 and 13013, that added together give a square (33124 = 182²).

The spelling of 2011113013 in words is "two billion, eleven million, one hundred thirteen thousand, thirteen".