1013332320 has 1152 divisors, whose sum is σ = 5019356160. Its totient is φ = 179159040.

The previous prime is 1013332303. The next prime is 1013332351. The reversal of 1013332320 is 232333101.

1013332320 is a `hidden beast` number, since 1 + 0 + 13 + 332 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013332293 and 1013332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27387342 + ... + 27387378.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^1013332320 is an apocalyptic number.

1013332320 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 1013332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1013332320 is an abundant number, since it is smaller than the sum of its proper divisors (4006023840).

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

1013332320 is a wasteful number, since it uses less digits than its factorization.

1013332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1013332320 is about 31832.8811137164. The cubic root of 1013332320 is about 1004.4245015808.

Adding to 1013332320 its reverse (232333101), we get a palindrome (1245665421).

It can be divided in two parts, 1013 and 332320, that added together give a palindrome (333333).

The spelling of 1013332320 in words is "one billion, thirteen million, three hundred thirty-two thousand, three hundred twenty".