2013130120 has 64 divisors (see below), whose sum is σ = 4694760000. Its totient is φ = 775987968.

The previous prime is 2013130109. The next prime is 2013130127. The reversal of 2013130120 is 210313102.

2013130120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2013130120.

It is not an unprimeable number, because it can be changed into a prime (2013130127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744531 + ... + 747229.

It is an arithmetic number, because the mean of its divisors is an integer number (73355625).

Almost surely, 2^2013130120 is an apocalyptic number.

2013130120 is a gapful number since it is divisible by the number (20) 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 2013130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347380000).

2013130120 is an abundant number, since it is smaller than the sum of its proper divisors (2681629880).

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

2013130120 is a wasteful number, since it uses less digits than its factorization.

2013130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013130120 is about 44867.9186056140. The cubic root of 2013130120 is about 1262.6721906108.

Adding to 2013130120 its reverse (210313102), we get a palindrome (2223443222).

The spelling of 2013130120 in words is "two billion, thirteen million, one hundred thirty thousand, one hundred twenty".