11131120 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3179520.

The previous prime is 11131111. The next prime is 11131123. The reversal of 11131120 is 2113111.

11131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11131097 and 11131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131123) 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, 80011 + ... + 80149.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^11131120 is an apocalyptic number.

11131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

11131120 is an abundant number, since it is smaller than the sum of its proper divisors (23866640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131120 is a wasteful number, since it uses less digits than its factorization.

11131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 11131120 is about 3336.3333166817. Note that the first 4 decimals coincide. The cubic root of 11131120 is about 223.2781824662.

Adding to 11131120 its reverse (2113111), we get a palindrome (13244231).

Subtracting from 11131120 its reverse (2113111), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 11 and 131120, that added together give a palindrome (131131).

The spelling of 11131120 in words is "eleven million, one hundred thirty-one thousand, one hundred twenty".