13301313221213 has 2 divisors, whose sum is σ = 13301313221214. Its totient is φ = 13301313221212.

The previous prime is 13301313221083. The next prime is 13301313221267. The reversal of 13301313221213 is 31212231310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10757757129604 + 2543556091609 = 3279902^2 + 1594853^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301313221213 - 2³⁴ = 13284133352029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13301363221213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650656610606 + 6650656610607.

It is an arithmetic number, because the mean of its divisors is an integer number (6650656610607).

Almost surely, 2^{13301313221213} is an apocalyptic number.

It is an amenable number.

13301313221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301313221213 is an equidigital number, since it uses as much as digits as its factorization.

13301313221213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13301313221213 its reverse (31212231310331), we get a palindrome (44513544531544).

The spelling of 13301313221213 in words is "thirteen trillion, three hundred one billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred thirteen".