1321113120 has 192 divisors, whose sum is σ = 4336778880. Its totient is φ = 337747968.

The previous prime is 1321113109. The next prime is 1321113223. The reversal of 1321113120 is 213111231.

It is a happy number.

It is a super-2 number, since 2×1321113120² = 3490679751672268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1321113120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295971 + ... + 1296989.

It is an arithmetic number, because the mean of its divisors is an integer number (22587390).

Almost surely, 2^1321113120 is an apocalyptic number.

1321113120 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 1321113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168389440).

1321113120 is an abundant number, since it is smaller than the sum of its proper divisors (3015665760).

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

1321113120 is a wasteful number, since it uses less digits than its factorization.

1321113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1321113120 is about 36347.1198308752. The cubic root of 1321113120 is about 1097.2695697059.

Adding to 1321113120 its reverse (213111231), we get a palindrome (1534224351).

The spelling of 1321113120 in words is "one billion, three hundred twenty-one million, one hundred thirteen thousand, one hundred twenty".