2013130220413 has 32 divisors (see below), whose sum is σ = 2298808512000. Its totient is φ = 1747613822976.

The previous prime is 2013130220363. The next prime is 2013130220441. The reversal of 2013130220413 is 3140220313102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013130220413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013130220513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21801820 + ... + 21893962.

It is an arithmetic number, because the mean of its divisors is an integer number (71837766000).

Almost surely, 2^{2013130220413} is an apocalyptic number.

It is an amenable number.

2013130220413 is a deficient number, since it is larger than the sum of its proper divisors (285678291587).

2013130220413 is a wasteful number, since it uses less digits than its factorization.

2013130220413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92821.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2013130220413 its reverse (3140220313102), we get a palindrome (5153350533515).

The spelling of 2013130220413 in words is "two trillion, thirteen billion, one hundred thirty million, two hundred twenty thousand, four hundred thirteen".