22401300013 has 2 divisors, whose sum is σ = 22401300014. Its totient is φ = 22401300012.

The previous prime is 22401300001. The next prime is 22401300079. The reversal of 22401300013 is 31000310422.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11518011684 + 10883288329 = 107322^2 + 104323^2 .

It is a cyclic number.

It is not a de Polignac number, because 22401300013 - 2⁵ = 22401299981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22401300013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22401300083) 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, 11200650006 + 11200650007.

It is an arithmetic number, because the mean of its divisors is an integer number (11200650007).

Almost surely, 2^22401300013 is an apocalyptic number.

It is an amenable number.

22401300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22401300013 is an equidigital number, since it uses as much as digits as its factorization.

22401300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22401300013 its reverse (31000310422), we get a palindrome (53401610435).

The spelling of 22401300013 in words is "twenty-two billion, four hundred one million, three hundred thousand, thirteen".