13001311221 has 32 divisors (see below), whose sum is σ = 18858147840. Its totient is φ = 7936064256.

The previous prime is 13001311157. The next prime is 13001311229. The reversal of 13001311221 is 12211310031.

It is a happy number.

13001311221 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 13001311221 - 2⁶ = 13001311157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13001311221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001311229) 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, 384060 + ... + 416538.

It is an arithmetic number, because the mean of its divisors is an integer number (589317120).

Almost surely, 2^13001311221 is an apocalyptic number.

It is an amenable number.

13001311221 is a deficient number, since it is larger than the sum of its proper divisors (5856836619).

13001311221 is a wasteful number, since it uses less digits than its factorization.

13001311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32713.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13001311221 its reverse (12211310031), we get a palindrome (25212621252).

The spelling of 13001311221 in words is "thirteen billion, one million, three hundred eleven thousand, two hundred twenty-one".