13321121211329 has 2 divisors, whose sum is σ = 13321121211330. Its totient is φ = 13321121211328.

The previous prime is 13321121211283. The next prime is 13321121211361. The reversal of 13321121211329 is 92311212112331.

It is a happy number.

It is an a-pointer prime, because the next prime (13321121211361) can be obtained adding 13321121211329 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8091026647729 + 5230094563600 = 2844473^2 + 2286940^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321121211329 - 2²⁸ = 13320852775873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13321121211295 and 13321121211304.

It is not a weakly prime, because it can be changed into another prime (13321121210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660560605664 + 6660560605665.

It is an arithmetic number, because the mean of its divisors is an integer number (6660560605665).

Almost surely, 2^{13321121211329} is an apocalyptic number.

It is an amenable number.

13321121211329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321121211329 is an equidigital number, since it uses as much as digits as its factorization.

13321121211329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 32.

The spelling of 13321121211329 in words is "thirteen trillion, three hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twenty-nine".