13041338506513 has 8 divisors (see below), whose sum is σ = 13255342583936. Its totient is φ = 12827341256400.

The previous prime is 13041338506501. The next prime is 13041338506523. The reversal of 13041338506513 is 31560583314031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13041338506513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13041338506513.

It is not an unprimeable number, because it can be changed into a prime (13041338506523) 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 7 ways as a sum of consecutive naturals, for example, 2218318 + ... + 5568088.

It is an arithmetic number, because the mean of its divisors is an integer number (1656917822992).

Almost surely, 2^{13041338506513} is an apocalyptic number.

It is an amenable number.

13041338506513 is a deficient number, since it is larger than the sum of its proper divisors (214004077423).

13041338506513 is an equidigital number, since it uses as much as digits as its factorization.

13041338506513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413655.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 13041338506513 in words is "thirteen trillion, forty-one billion, three hundred thirty-eight million, five hundred six thousand, five hundred thirteen".