1013331120 has 160 divisors (see below), whose sum is σ = 3240864000. Its totient is φ = 261768192.

The previous prime is 1013331119. The next prime is 1013331149. The reversal of 1013331120 is 211333101.

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 1013331120.

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, 1537351 + ... + 1538009.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 2^1013331120 is an apocalyptic number.

1013331120 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 1013331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432000).

1013331120 is an abundant number, since it is smaller than the sum of its proper divisors (2227532880).

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

1013331120 is a wasteful number, since it uses less digits than its factorization.

1013331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1013331120 is about 31832.8622652755. The cubic root of 1013331120 is about 1004.4241050969.

Adding to 1013331120 its reverse (211333101), we get a palindrome (1224664221).

The spelling of 1013331120 in words is "one billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".