13224312333013 has 2 divisors, whose sum is σ = 13224312333014. Its totient is φ = 13224312333012.

The previous prime is 13224312332983. The next prime is 13224312333101. The reversal of 13224312333013 is 31033321342231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12092637637809 + 1131674695204 = 3477447^2 + 1063802^2 .

It is a cyclic number.

It is not a de Polignac number, because 13224312333013 - 2²⁹ = 13223775462101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13224312333613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6612156166506 + 6612156166507.

It is an arithmetic number, because the mean of its divisors is an integer number (6612156166507).

Almost surely, 2^{13224312333013} is an apocalyptic number.

It is an amenable number.

13224312333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13224312333013 is an equidigital number, since it uses as much as digits as its factorization.

13224312333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 13224312333013 its reverse (31033321342231), we get a palindrome (44257633675244).

The spelling of 13224312333013 in words is "thirteen trillion, two hundred twenty-four billion, three hundred twelve million, three hundred thirty-three thousand, thirteen".