13000403321 has 32 divisors (see below), whose sum is σ = 14035680000. Its totient is φ = 12013754368.

The previous prime is 13000403309. The next prime is 13000403329. The reversal of 13000403321 is 12330400031.

It is a happy number.

13000403321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13000403321 - 2¹⁸ = 13000141177 is a prime.

It is a super-3 number, since 3×13000403321³ (a number of 31 digits) contains 333 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 13000403321.

It is not an unprimeable number, because it can be changed into a prime (13000403329) 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, 22847525 + ... + 22848093.

It is an arithmetic number, because the mean of its divisors is an integer number (438615000).

Almost surely, 2^13000403321 is an apocalyptic number.

It is an amenable number.

13000403321 is a deficient number, since it is larger than the sum of its proper divisors (1035276679).

13000403321 is a wasteful number, since it uses less digits than its factorization.

13000403321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13000403321 its reverse (12330400031), we get a palindrome (25330803352).

The spelling of 13000403321 in words is "thirteen billion, four hundred three thousand, three hundred twenty-one".