2013130320 has 80 divisors (see below), whose sum is σ = 6373520640. Its totient is φ = 525409792.

The previous prime is 2013130309. The next prime is 2013130331. The reversal of 2013130320 is 230313102.

It is an interprime number because it is at equal distance from previous prime (2013130309) and next prime (2013130331).

It is a tau number, because it is divible by the number of its divisors (80).

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 2013130320.

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, 77955 + ... + 100514.

It is an arithmetic number, because the mean of its divisors is an integer number (79669008).

Almost surely, 2^2013130320 is an apocalyptic number.

2013130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013130320 is an abundant number, since it is smaller than the sum of its proper divisors (4360390320).

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

2013130320 is a wasteful number, since it uses less digits than its factorization.

2013130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178532 (or 178526 counting only the distinct ones).

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

The square root of 2013130320 is about 44867.9208343779. The cubic root of 2013130320 is about 1262.6722324253.

Adding to 2013130320 its reverse (230313102), we get a palindrome (2243443422).

The spelling of 2013130320 in words is "two billion, thirteen million, one hundred thirty thousand, three hundred twenty".