1113111 has 12 divisors (see below), whose sum is σ = 1616992. Its totient is φ = 737856.

The previous prime is 1113103. The next prime is 1113137.

1113111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1113111 - 2³ = 1113103 is a prime.

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

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.

It is a junction number, because it is equal to n+sod(n) for n = 1113093 and 1113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2850 + ... + 3216.

2^1113111 is an apocalyptic number.

1113111 is a deficient number, since it is larger than the sum of its proper divisors (503881).

1113111 is a wasteful number, since it uses less digits than its factorization.

1113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 707 counting only the distinct ones).

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

The square root of 1113111 is about 1055.0407575066. The cubic root of 1113111 is about 103.6365208174.

The spelling of 1113111 in words is "one million, one hundred thirteen thousand, one hundred eleven".