1111113 has 6 divisors (see below), whose sum is σ = 1604954. Its totient is φ = 740736.

The previous prime is 1111091. The next prime is 1111151. The reversal of 1111113 is 3111111.

It can be written as a sum of positive squares in only one way, i.e., 1108809 + 2304 = 1053^2 + 48^2 .

It is not a de Polignac number, because 1111113 - 2⁵ = 1111081 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: 123457 = 1111113 / (1 + 1 + 1 + 1 + 1 + 1 + 3).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

1111113 is a lucky number.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1111095 and 1111104.

It is not an unprimeable number, because it can be changed into a prime (1111183) 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, 61720 + ... + 61737.

2^1111113 is an apocalyptic number.

It is an amenable number.

1111113 is a deficient number, since it is larger than the sum of its proper divisors (493841).

1111113 is a wasteful number, since it uses less digits than its factorization.

1111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123463 (or 123460 counting only the distinct ones).

The product of its digits is 3, while the sum is 9.

The square root of 1111113 is about 1054.0934493677. The cubic root of 1111113 is about 103.5744755573.

Adding to 1111113 its reverse (3111111), we get a palindrome (4222224).

It can be divided in two parts, 111111 and 3, that multiplied together give a palindrome (333333).

The spelling of 1111113 in words is "one million, one hundred eleven thousand, one hundred thirteen".