13663201321 has 32 divisors (see below), whose sum is σ = 18108933120. Its totient is φ = 9986328000.

The previous prime is 13663201301. The next prime is 13663201351. The reversal of 13663201321 is 12310236631.

13663201321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13663201321 - 2⁹ = 13663200809 is a prime.

It is a super-2 number, since 2×13663201321² (a number of 21 digits) contains 22 as substring.

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 13663201321.

It is not an unprimeable number, because it can be changed into a prime (13663201301) 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 31 ways as a sum of consecutive naturals, for example, 101530 + ... + 193996.

It is an arithmetic number, because the mean of its divisors is an integer number (565904160).

Almost surely, 2^13663201321 is an apocalyptic number.

13663201321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13663201321 is a deficient number, since it is larger than the sum of its proper divisors (4445731799).

13663201321 is a wasteful number, since it uses less digits than its factorization.

13663201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92605.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 13663201321 its reverse (12310236631), we get a palindrome (25973437952).

The spelling of 13663201321 in words is "thirteen billion, six hundred sixty-three million, two hundred one thousand, three hundred twenty-one".