2013104040513 has 16 divisors (see below), whose sum is σ = 2801787878016. Its totient is φ = 1283284259840.

The previous prime is 2013104040499. The next prime is 2013104040587. The reversal of 2013104040513 is 3150404013102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2013104040513 - 2⁵ = 2013104040481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013104020513) 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, 4729248 + ... + 5137313.

It is an arithmetic number, because the mean of its divisors is an integer number (175111742376).

Almost surely, 2^{2013104040513} is an apocalyptic number.

2013104040513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2013104040513 is a deficient number, since it is larger than the sum of its proper divisors (788683837503).

2013104040513 is a wasteful number, since it uses less digits than its factorization.

2013104040513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869544.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2013104040513 its reverse (3150404013102), we get a palindrome (5163508053615).

The spelling of 2013104040513 in words is "two trillion, thirteen billion, one hundred four million, forty thousand, five hundred thirteen".