13381168329 has 15 divisors (see below), whose sum is σ = 19990708023. Its totient is φ = 8920084824.

The previous prime is 13381168309. The next prime is 13381168349. The reversal of 13381168329 is 92386118331.

The square root of 13381168329 is 115677.

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

13381168329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13381168309) and next prime (13381168349).

It can be written as a sum of positive squares in only one way, i.e., 3271268025 + 10109900304 = 57195^2 + 100548^2 .

It is not a de Polignac number, because 13381168329 - 2⁷ = 13381168201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13381168309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1034667 + ... + 1047519.

Almost surely, 2^13381168329 is an apocalyptic number.

13381168329 is the 115677-th square number.

13381168329 is the 57839-th centered octagonal number.

It is an amenable number.

13381168329 is a deficient number, since it is larger than the sum of its proper divisors (6609539694).

13381168329 is an frugal number, since it uses more digits than its factorization.

13381168329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25718 (or 12856 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13381168329 in words is "thirteen billion, three hundred eighty-one million, one hundred sixty-eight thousand, three hundred twenty-nine".