1131131120 has 80 divisors (see below), whose sum is σ = 3018824640. Its totient is φ = 386107392.

The previous prime is 1131131087. The next prime is 1131131137. The reversal of 1131131120 is 211311311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1131131120² = 2558915221264908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1131131095 and 1131131104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126146 + ... + 134814.

It is an arithmetic number, because the mean of its divisors is an integer number (37735308).

Almost surely, 2^1131131120 is an apocalyptic number.

1131131120 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 1131131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509412320).

1131131120 is an abundant number, since it is smaller than the sum of its proper divisors (1887693520).

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

1131131120 is a wasteful number, since it uses less digits than its factorization.

1131131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1131131120 is about 33632.2928150907. The cubic root of 1131131120 is about 1041.9278590104.

Adding to 1131131120 its reverse (211311311), we get a palindrome (1342442431).

The spelling of 1131131120 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".