1013032320 has 128 divisors (see below), whose sum is σ = 3243183840. Its totient is φ = 268959744.

The previous prime is 1013032297. The next prime is 1013032337. The reversal of 1013032320 is 232303101.

It is a tau number, because it is divible by the number of its divisors (128).

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 1013032320.

It is a congruent number.

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, 492414 + ... + 494466.

Almost surely, 2^1013032320 is an apocalyptic number.

1013032320 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 1013032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621591920).

1013032320 is an abundant number, since it is smaller than the sum of its proper divisors (2230151520).

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

1013032320 is a wasteful number, since it uses less digits than its factorization.

1013032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1013032320 is about 31828.1686560820. The cubic root of 1013032320 is about 1004.3253708594.

Adding to 1013032320 its reverse (232303101), we get a palindrome (1245335421).

The spelling of 1013032320 in words is "one billion, thirteen million, thirty-two thousand, three hundred twenty".