13220321003213 has 8 divisors (see below), whose sum is σ = 13298779242936. Its totient is φ = 13141886214400.

The previous prime is 13220321003179. The next prime is 13220321003261. The reversal of 13220321003213 is 31230012302231.

It can be written as a sum of positive squares in 4 ways, for example, as 5765007487849 + 7455313515364 = 2401043^2 + 2730442^2 .

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 13220321003213 - 2³⁸ = 12945443096269 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 (13220321006213) 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, 4731248 + ... + 6987513.

It is an arithmetic number, because the mean of its divisors is an integer number (1662347405367).

Almost surely, 2^{13220321003213} is an apocalyptic number.

It is an amenable number.

13220321003213 is a deficient number, since it is larger than the sum of its proper divisors (78458239723).

13220321003213 is a wasteful number, since it uses less digits than its factorization.

13220321003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725455.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13220321003213 its reverse (31230012302231), we get a palindrome (44450333305444).

The spelling of 13220321003213 in words is "thirteen trillion, two hundred twenty billion, three hundred twenty-one million, three thousand, two hundred thirteen".