13013133112321 has 8 divisors (see below), whose sum is σ = 13364974031720. Its totient is φ = 12661299278208.

The previous prime is 13013133112303. The next prime is 13013133112351. The reversal of 13013133112321 is 12321133131031.

13013133112321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1101240360000 + 11911892752321 = 1049400^2 + 3451361^2 .

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 13013133112321 - 2⁹ = 13013133111809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013133112351) 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, 2062285 + ... + 5502661.

It is an arithmetic number, because the mean of its divisors is an integer number (1670621753965).

Almost surely, 2^{13013133112321} is an apocalyptic number.

It is an amenable number.

13013133112321 is a deficient number, since it is larger than the sum of its proper divisors (351840919399).

13013133112321 is a wasteful number, since it uses less digits than its factorization.

13013133112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542643.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13013133112321 its reverse (12321133131031), we get a palindrome (25334266243352).

The spelling of 13013133112321 in words is "thirteen trillion, thirteen billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".