230011223311013 has 2 divisors, whose sum is σ = 230011223311014. Its totient is φ = 230011223311012.

The previous prime is 230011223310983. The next prime is 230011223311019. The reversal of 230011223311013 is 310113322110032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176378772108289 + 53632451202724 = 13280767^2 + 7323418^2 .

It is a cyclic number.

It is not a de Polignac number, because 230011223311013 - 2¹⁸ = 230011223048869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230011223311013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230011223311019) 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, 115005611655506 + 115005611655507.

It is an arithmetic number, because the mean of its divisors is an integer number (115005611655507).

Almost surely, 2^{230011223311013} is an apocalyptic number.

It is an amenable number.

230011223311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

230011223311013 is an equidigital number, since it uses as much as digits as its factorization.

230011223311013 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 23.

Adding to 230011223311013 its reverse (310113322110032), we get a palindrome (540124545421045).

The spelling of 230011223311013 in words is "two hundred thirty trillion, eleven billion, two hundred twenty-three million, three hundred eleven thousand, thirteen".