2013101203113 has 224 divisors, whose sum is σ = 4057643826432. Its totient is φ = 964099584000.

The previous prime is 2013101203103. The next prime is 2013101203117. The reversal of 2013101203113 is 3113021013102.

2013101203113 is a `hidden beast` number, since 20 + 1 + 310 + 1 + 20 + 311 + 3 = 666.

It is not a de Polignac number, because 2013101203113 - 2¹² = 2013101199017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013101203117) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 876403381 + ... + 876405677.

It is an arithmetic number, because the mean of its divisors is an integer number (18114481368).

Almost surely, 2^{2013101203113} is an apocalyptic number.

It is an amenable number.

2013101203113 is an abundant number, since it is smaller than the sum of its proper divisors (2044542623319).

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

2013101203113 is a wasteful number, since it uses less digits than its factorization.

2013101203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2013101203113 its reverse (3113021013102), we get a palindrome (5126122216215).

The spelling of 2013101203113 in words is "two trillion, thirteen billion, one hundred one million, two hundred three thousand, one hundred thirteen".