1131113120 has 96 divisors (see below), whose sum is σ = 2788079616. Its totient is φ = 433152000.

The previous prime is 1131113107. The next prime is 1131113197. The reversal of 1131113120 is 213111311.

It is a happy number.

It is a super-2 number, since 2×1131113120² = 2558833780472268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131113095 and 1131113104.

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, 479945 + ... + 482295.

It is an arithmetic number, because the mean of its divisors is an integer number (29042496).

Almost surely, 2^1131113120 is an apocalyptic number.

1131113120 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 1131113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394039808).

1131113120 is an abundant number, since it is smaller than the sum of its proper divisors (1656966496).

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

1131113120 is a wasteful number, since it uses less digits than its factorization.

1131113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2486 counting only the distinct ones).

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

The square root of 1131113120 is about 33632.0252140724. The cubic root of 1131113120 is about 1041.9223321531.

Adding to 1131113120 its reverse (213111311), we get a palindrome (1344224431).

The spelling of 1131113120 in words is "one billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".