13301310212321 has 2 divisors, whose sum is σ = 13301310212322. Its totient is φ = 13301310212320.

The previous prime is 13301310212299. The next prime is 13301310212327. The reversal of 13301310212321 is 12321201310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11717538301921 + 1583771910400 = 3423089^2 + 1258480^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301310212321 - 2⁶ = 13301310212257 is a prime.

It is a super-2 number, since 2×13301310212321² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13301310212327) 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, 6650655106160 + 6650655106161.

It is an arithmetic number, because the mean of its divisors is an integer number (6650655106161).

Almost surely, 2^{13301310212321} is an apocalyptic number.

It is an amenable number.

13301310212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301310212321 is an equidigital number, since it uses as much as digits as its factorization.

13301310212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13301310212321 its reverse (12321201310331), we get a palindrome (25622511522652).

The spelling of 13301310212321 in words is "thirteen trillion, three hundred one billion, three hundred ten million, two hundred twelve thousand, three hundred twenty-one".