2013112320113 has 16 divisors (see below), whose sum is σ = 2053578863424. Its totient is φ = 1972959024960.

The previous prime is 2013112320101. The next prime is 2013112320151. The reversal of 2013112320113 is 3110232113102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2013112320113 - 2¹⁰ = 2013112319089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013112320173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41779031 + ... + 41827187.

It is an arithmetic number, because the mean of its divisors is an integer number (128348678964).

Almost surely, 2^{2013112320113} is an apocalyptic number.

It is an amenable number.

2013112320113 is a deficient number, since it is larger than the sum of its proper divisors (40466543311).

2013112320113 is a wasteful number, since it uses less digits than its factorization.

2013112320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51392.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2013112320113 its reverse (3110232113102), we get a palindrome (5123344433215).

The spelling of 2013112320113 in words is "two trillion, thirteen billion, one hundred twelve million, three hundred twenty thousand, one hundred thirteen".