1131111 has 8 divisors (see below), whose sum is σ = 1675760. Its totient is φ = 754056.

The previous prime is 1131103. The next prime is 1131113. The reversal of 1131111 is 1111311.

It is not a de Polignac number, because 1131111 - 2³ = 1131103 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.

1131111 is a modest number, since divided by 1111 gives 113 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1131093 and 1131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20920 + ... + 20973.

It is an arithmetic number, because the mean of its divisors is an integer number (209470).

2^1131111 is an apocalyptic number.

1131111 is a deficient number, since it is larger than the sum of its proper divisors (544649).

1131111 is an equidigital number, since it uses as much as digits as its factorization.

1131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41902 (or 41896 counting only the distinct ones).

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

The square root of 1131111 is about 1063.5370233330. The cubic root of 1131111 is about 104.1921681208.

Adding to 1131111 its reverse (1111311), we get a palindrome (2242422).

It can be divided in two parts, 11311 and 11, that multiplied together give a palindrome (124421).

The spelling of 1131111 in words is "one million, one hundred thirty-one thousand, one hundred eleven".