13328933401 has 9 divisors (see below), whose sum is σ = 15506025951. Its totient is φ = 11424107352.

The previous prime is 13328933393. The next prime is 13328933489. The reversal of 13328933401 is 10433982331.

It is a happy number.

The square root of 13328933401 is 115451.

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

13328933401 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 only one way, i.e., 361190025 + 12967743376 = 19005^2 + 113876^2 .

It is not a de Polignac number, because 13328933401 - 2³ = 13328933393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13328933201) 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 8 ways as a sum of consecutive naturals, for example, 799911 + ... + 816403.

Almost surely, 2^13328933401 is an apocalyptic number.

13328933401 is the 115451-st square number.

13328933401 is the 57726-th centered octagonal number.

It is an amenable number.

13328933401 is a deficient number, since it is larger than the sum of its proper divisors (2177092550).

13328933401 is an frugal number, since it uses more digits than its factorization.

13328933401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33000 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

Multiplying 13328933401 by its product of nonzero digits (46656), we get a square (621874716757056 = 24937416²).

It can be divided in two parts, 13328 and 933401, that added together give a square (946729 = 973²).

The spelling of 13328933401 in words is "thirteen billion, three hundred twenty-eight million, nine hundred thirty-three thousand, four hundred one".