12233012320013 has 2 divisors, whose sum is σ = 12233012320014. Its totient is φ = 12233012320012.

The previous prime is 12233012320007. The next prime is 12233012320019. The reversal of 12233012320013 is 31002321033221.

It is a balanced prime because it is at equal distance from previous prime (12233012320007) and next prime (12233012320019).

It can be written as a sum of positive squares in only one way, i.e., 8405836115524 + 3827176204489 = 2899282^2 + 1956317^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233012320013 - 2⁴² = 7834965808909 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12233012320019) 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, 6116506160006 + 6116506160007.

It is an arithmetic number, because the mean of its divisors is an integer number (6116506160007).

Almost surely, 2^{12233012320013} is an apocalyptic number.

It is an amenable number.

12233012320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233012320013 is an equidigital number, since it uses as much as digits as its factorization.

12233012320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12233012320013 its reverse (31002321033221), we get a palindrome (43235333353234).

The spelling of 12233012320013 in words is "twelve trillion, two hundred thirty-three billion, twelve million, three hundred twenty thousand, thirteen".