2013113202101 has 16 divisors (see below), whose sum is σ = 2163496152384. Its totient is φ = 1866285805824.

The previous prime is 2013113202091. The next prime is 2013113202137. The reversal of 2013113202101 is 1012023113102.

It is a cyclic number.

It is not a de Polignac number, because 2013113202101 - 2²⁶ = 2013046093237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2013113202101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013113202181) 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, 18857591 + ... + 18964043.

It is an arithmetic number, because the mean of its divisors is an integer number (135218509524).

Almost surely, 2^{2013113202101} is an apocalyptic number.

It is an amenable number.

2013113202101 is a deficient number, since it is larger than the sum of its proper divisors (150382950283).

2013113202101 is a wasteful number, since it uses less digits than its factorization.

2013113202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123140.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2013113202101 its reverse (1012023113102), we get a palindrome (3025136315203).

The spelling of 2013113202101 in words is "two trillion, thirteen billion, one hundred thirteen million, two hundred two thousand, one hundred one".