1113331120 has 160 divisors (see below), whose sum is σ = 2908099584. Its totient is φ = 392985600.

The previous prime is 1113331111. The next prime is 1113331127. The reversal of 1113331120 is 211333111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1113331094 and 1113331103.

It is not an unprimeable number, because it can be changed into a prime (1113331127) 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, 6435354 + ... + 6435526.

Almost surely, 2^1113331120 is an apocalyptic number.

1113331120 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 1113331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454049792).

1113331120 is an abundant number, since it is smaller than the sum of its proper divisors (1794768464).

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

1113331120 is a wasteful number, since it uses less digits than its factorization.

1113331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1113331120 is about 33366.6168497797. The cubic root of 1113331120 is about 1036.4335181246.

Adding to 1113331120 its reverse (211333111), we get a palindrome (1324664231).

It can be divided in two parts, 1113 and 331120, that added together give a palindrome (332233).

The spelling of 1113331120 in words is "one billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".