1323120321013 has 2 divisors, whose sum is σ = 1323120321014. Its totient is φ = 1323120321012.

The previous prime is 1323120321011. The next prime is 1323120321037. The reversal of 1323120321013 is 3101230213231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 912088031089 + 411032289924 = 955033^2 + 641118^2 .

It is a cyclic number.

It is not a de Polignac number, because 1323120321013 - 2¹ = 1323120321011 is a prime.

Together with 1323120321011, 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 (1323120321011) 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, 661560160506 + 661560160507.

It is an arithmetic number, because the mean of its divisors is an integer number (661560160507).

Almost surely, 2^{1323120321013} is an apocalyptic number.

It is an amenable number.

1323120321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1323120321013 is an equidigital number, since it uses as much as digits as its factorization.

1323120321013 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 22.

Adding to 1323120321013 its reverse (3101230213231), we get a palindrome (4424350534244).

The spelling of 1323120321013 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, three hundred twenty-one thousand, thirteen".