22333220310013 has 2 divisors, whose sum is σ = 22333220310014. Its totient is φ = 22333220310012.

The previous prime is 22333220309993. The next prime is 22333220310067. The reversal of 22333220310013 is 31001302233322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17472174280729 + 4861046029284 = 4179973^2 + 2204778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22333220310013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22333220310013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22333220310083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11166610155006 + 11166610155007.

It is an arithmetic number, because the mean of its divisors is an integer number (11166610155007).

Almost surely, 2^{22333220310013} is an apocalyptic number.

It is an amenable number.

22333220310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22333220310013 is an equidigital number, since it uses as much as digits as its factorization.

22333220310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 22333220310013 its reverse (31001302233322), we get a palindrome (53334522543335).

The spelling of 22333220310013 in words is "twenty-two trillion, three hundred thirty-three billion, two hundred twenty million, three hundred ten thousand, thirteen".