2011113 has 12 divisors (see below), whose sum is σ = 3128580. Its totient is φ = 1237536.

The previous prime is 2011111. The next prime is 2011123. The reversal of 2011113 is 3111102.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 870489 = 1068^2 + 933^2 .

It is not a de Polignac number, because 2011113 - 2¹ = 2011111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2011095 and 2011104.

It is not an unprimeable number, because it can be changed into a prime (2011111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8478 + ... + 8711.

It is an arithmetic number, because the mean of its divisors is an integer number (260715).

2^2011113 is an apocalyptic number.

It is an amenable number.

2011113 is a deficient number, since it is larger than the sum of its proper divisors (1117467).

2011113 is a wasteful number, since it uses less digits than its factorization.

2011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011113 is about 1418.1371583877. The cubic root of 2011113 is about 126.2250324773.

Adding to 2011113 its reverse (3111102), we get a palindrome (5122215).

The spelling of 2011113 in words is "two million, eleven thousand, one hundred thirteen".