1323355440013 has 2 divisors, whose sum is σ = 1323355440014. Its totient is φ = 1323355440012.

The previous prime is 1323355440007. The next prime is 1323355440019. The reversal of 1323355440013 is 3100445533231.

It is a balanced prime because it is at equal distance from previous prime (1323355440007) and next prime (1323355440019).

It can be written as a sum of positive squares in only one way, i.e., 1250635149124 + 72720290889 = 1118318^2 + 269667^2 .

It is a cyclic number.

It is not a de Polignac number, because 1323355440013 - 2⁹ = 1323355439501 is a prime.

It is a super-2 number, since 2×1323355440013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1323355440019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661677720006 + 661677720007.

It is an arithmetic number, because the mean of its divisors is an integer number (661677720007).

Almost surely, 2^{1323355440013} is an apocalyptic number.

It is an amenable number.

1323355440013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1323355440013 is an equidigital number, since it uses as much as digits as its factorization.

1323355440013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 1323355440013 in words is "one trillion, three hundred twenty-three billion, three hundred fifty-five million, four hundred forty thousand, thirteen".