13321101313013 has 8 divisors (see below), whose sum is σ = 14679424703328. Its totient is φ = 12010438392624.

The previous prime is 13321101313001. The next prime is 13321101313061. The reversal of 13321101313013 is 31031310112331.

13321101313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13321101313013 - 2¹⁰ = 13321101311989 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 13321101313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321101313063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11915116895 + ... + 11915118012.

It is an arithmetic number, because the mean of its divisors is an integer number (1834928087916).

Almost surely, 2^{13321101313013} is an apocalyptic number.

13321101313013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13321101313013 is a deficient number, since it is larger than the sum of its proper divisors (1358323390315).

13321101313013 is a wasteful number, since it uses less digits than its factorization.

13321101313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830234963.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13321101313013 its reverse (31031310112331), we get a palindrome (44352411425344).

The spelling of 13321101313013 in words is "thirteen trillion, three hundred twenty-one billion, one hundred one million, three hundred thirteen thousand, thirteen".