13321333102213 has 2 divisors, whose sum is σ = 13321333102214. Its totient is φ = 13321333102212.

The previous prime is 13321333102211. The next prime is 13321333102237. The reversal of 13321333102213 is 31220133312331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7809576771844 + 5511756330369 = 2794562^2 + 2347713^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321333102213 - 2¹ = 13321333102211 is a prime.

Together with 13321333102211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13321333102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660666551106 + 6660666551107.

It is an arithmetic number, because the mean of its divisors is an integer number (6660666551107).

Almost surely, 2^{13321333102213} is an apocalyptic number.

It is an amenable number.

13321333102213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321333102213 is an equidigital number, since it uses as much as digits as its factorization.

13321333102213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 13321333102213 its reverse (31220133312331), we get a palindrome (44541466414544).

The spelling of 13321333102213 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-three million, one hundred two thousand, two hundred thirteen".