13221323210321 has 2 divisors, whose sum is σ = 13221323210322. Its totient is φ = 13221323210320.

The previous prime is 13221323210297. The next prime is 13221323210353. The reversal of 13221323210321 is 12301232312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12327570412096 + 893752798225 = 3511064^2 + 945385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13221323210321 is a prime.

It is a super-3 number, since 3×13221323210321³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13221320210321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610661605160 + 6610661605161.

It is an arithmetic number, because the mean of its divisors is an integer number (6610661605161).

Almost surely, 2^{13221323210321} is an apocalyptic number.

It is an amenable number.

13221323210321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221323210321 is an equidigital number, since it uses as much as digits as its factorization.

13221323210321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13221323210321 its reverse (12301232312231), we get a palindrome (25522555522552).

The spelling of 13221323210321 in words is "thirteen trillion, two hundred twenty-one billion, three hundred twenty-three million, two hundred ten thousand, three hundred twenty-one".