2013113202120 has 48 divisors (see below), whose sum is σ = 6542617908060. Its totient is φ = 536830187136.

The previous prime is 2013113202091. The next prime is 2013113202137. The reversal of 2013113202120 is 212023113102.

2013113202120 is a `hidden beast` number, since 2 + 0 + 131 + 1 + 320 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1618304559876 + 394808642244 = 1272126^2 + 628338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013113202093 and 2013113202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2795990199 + ... + 2795990918.

Almost surely, 2^{2013113202120} is an apocalyptic number.

2013113202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013113202120 is an abundant number, since it is smaller than the sum of its proper divisors (4529504705940).

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

2013113202120 is a wasteful number, since it uses less digits than its factorization.

2013113202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591981134 (or 5591981127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013113202120 its reverse (212023113102), we get a palindrome (2225136315222).

The spelling of 2013113202120 in words is "two trillion, thirteen billion, one hundred thirteen million, two hundred two thousand, one hundred twenty".