13338396839329 has 9 divisors (see below), whose sum is σ = 13595010443833. Its totient is φ = 13086539061232.

The previous prime is 13338396839297. The next prime is 13338396839333. The reversal of 13338396839329 is 92393869383331.

The square root of 13338396839329 is 3652177.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2782707741025 + 10555689098304 = 1668145^2 + 3248952^2 .

It is not a de Polignac number, because 13338396839329 - 2⁵ = 13338396839297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13338396839389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193530927 + ... + 193599835.

Almost surely, 2^{13338396839329} is an apocalyptic number.

13338396839329 is the 3652177-th square number.

13338396839329 is the 1826089-th centered octagonal number.

It is an amenable number.

13338396839329 is a deficient number, since it is larger than the sum of its proper divisors (256613604504).

13338396839329 is an frugal number, since it uses more digits than its factorization.

13338396839329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137924 (or 68962 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 70.

The spelling of 13338396839329 in words is "thirteen trillion, three hundred thirty-eight billion, three hundred ninety-six million, eight hundred thirty-nine thousand, three hundred twenty-nine".