2013013120 has 64 divisors (see below), whose sum is σ = 4942481400. Its totient is φ = 783433728.

The previous prime is 2013013097. The next prime is 2013013127. The reversal of 2013013120 is 213103102.

It can be written as a sum of positive squares in 4 ways, for example, as 1924050496 + 88962624 = 43864^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2013013120.

It is not an unprimeable number, because it can be changed into a prime (2013013127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18825 + ... + 66184.

Almost surely, 2^2013013120 is an apocalyptic number.

2013013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013013120 is an abundant number, since it is smaller than the sum of its proper divisors (2929468280).

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

2013013120 is an equidigital number, since it uses as much as digits as its factorization.

2013013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85065 (or 85053 counting only the distinct ones).

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

The square root of 2013013120 is about 44866.6147597520. The cubic root of 2013013120 is about 1262.6477286205.

Adding to 2013013120 its reverse (213103102), we get a palindrome (2226116222).

The spelling of 2013013120 in words is "two billion, thirteen million, thirteen thousand, one hundred twenty".