2013111 has 6 divisors (see below), whose sum is σ = 2907840. Its totient is φ = 1342068.

The previous prime is 2013101. The next prime is 2013113. The reversal of 2013111 is 1113102.

It is not a de Polignac number, because 2013111 - 2⁵ = 2013079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 223679 = 2013111 / (2 + 0 + 1 + 3 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2013093 and 2013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013113) 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, 111831 + ... + 111848.

It is an arithmetic number, because the mean of its divisors is an integer number (484640).

2^2013111 is an apocalyptic number.

2013111 is a deficient number, since it is larger than the sum of its proper divisors (894729).

2013111 is a wasteful number, since it uses less digits than its factorization.

2013111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223685 (or 223682 counting only the distinct ones).

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

The square root of 2013111 is about 1418.8414287721. The cubic root of 2013111 is about 126.2668193126.

Adding to 2013111 its reverse (1113102), we get a palindrome (3126213).

Subtracting from 2013111 its reverse (1113102), we obtain a palindrome (900009).

It can be divided in two parts, 20 and 13111, that added together give a palindrome (13131).

The spelling of 2013111 in words is "two million, thirteen thousand, one hundred eleven".