13221100213 has 8 divisors (see below), whose sum is σ = 13494259800. Its totient is φ = 12948818688.

The previous prime is 13221100187. The next prime is 13221100241. The reversal of 13221100213 is 31200112231.

13221100213 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 4 ways, for example, as 4664480209 + 8556620004 = 68297^2 + 92502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221100213 - 2⁵ = 13221100181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221100253) 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 7 ways as a sum of consecutive naturals, for example, 189048 + ... + 249361.

It is an arithmetic number, because the mean of its divisors is an integer number (1686782475).

Almost surely, 2^13221100213 is an apocalyptic number.

It is an amenable number.

13221100213 is a deficient number, since it is larger than the sum of its proper divisors (273159587).

13221100213 is an equidigital number, since it uses as much as digits as its factorization.

13221100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439031.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13221100213 its reverse (31200112231), we get a palindrome (44421212444).

The spelling of 13221100213 in words is "thirteen billion, two hundred twenty-one million, one hundred thousand, two hundred thirteen".