11131131 has 32 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 6220800.

The previous prime is 11131123. The next prime is 11131163. The reversal of 11131131 is 13113111.

11131131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11131131 - 2³ = 11131123 is a prime.

It is a super-2 number, since 2×11131131² = 247804154678322, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11131111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25491 + ... + 25923.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^11131131 is an apocalyptic number.

11131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11131131 is a deficient number, since it is larger than the sum of its proper divisors (6367749).

11131131 is a wasteful number, since it uses less digits than its factorization.

11131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its digits is 9, while the sum is 12.

The square root of 11131131 is about 3336.3349651976. The cubic root of 11131131 is about 223.2782560155.

Adding to 11131131 its reverse (13113111), we get a palindrome (24244242).

It can be divided in two parts, 11 and 131131, that multiplied together give a palindrome (1442441).

The spelling of 11131131 in words is "eleven million, one hundred thirty-one thousand, one hundred thirty-one".