2013113140 has 24 divisors (see below), whose sum is σ = 4476217032. Its totient is φ = 757877760.

The previous prime is 2013113119. The next prime is 2013113149. The reversal of 2013113140 is 413113102.

It can be written as a sum of positive squares in 4 ways, for example, as 256832676 + 1756280464 = 16026^2 + 41908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013113149) 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, 2960121 + ... + 2960800.

It is an arithmetic number, because the mean of its divisors is an integer number (186509043).

Almost surely, 2^2013113140 is an apocalyptic number.

2013113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013113140 is an abundant number, since it is smaller than the sum of its proper divisors (2463103892).

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

2013113140 is a wasteful number, since it uses less digits than its factorization.

2013113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920947 (or 5920945 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2013113140 is about 44867.7293831547. The cubic root of 2013113140 is about 1262.6686405448.

Adding to 2013113140 its reverse (413113102), we get a palindrome (2426226242).

The spelling of 2013113140 in words is "two billion, thirteen million, one hundred thirteen thousand, one hundred forty".