102233223012013 has 2 divisors, whose sum is σ = 102233223012014. Its totient is φ = 102233223012012.

The previous prime is 102233223012001. The next prime is 102233223012043. The reversal of 102233223012013 is 310210322332201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84558286931364 + 17674936080649 = 9195558^2 + 4204157^2 .

It is a cyclic number.

It is not a de Polignac number, because 102233223012013 - 2²⁹ = 102232686141101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102233223012043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51116611506006 + 51116611506007.

It is an arithmetic number, because the mean of its divisors is an integer number (51116611506007).

Almost surely, 2^{102233223012013} is an apocalyptic number.

It is an amenable number.

102233223012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102233223012013 is an equidigital number, since it uses as much as digits as its factorization.

102233223012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 102233223012013 its reverse (310210322332201), we get a palindrome (412443545344214).

The spelling of 102233223012013 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred twenty-three million, twelve thousand, thirteen".