22000232100013 has 2 divisors, whose sum is σ = 22000232100014. Its totient is φ = 22000232100012.

The previous prime is 22000232099947. The next prime is 22000232100031. The reversal of 22000232100013 is 31000123200022.

Together with next prime (22000232100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20011065997129 + 1989166102884 = 4473373^2 + 1410378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22000232100013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22000232100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22000232100073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000116050006 + 11000116050007.

It is an arithmetic number, because the mean of its divisors is an integer number (11000116050007).

Almost surely, 2^{22000232100013} is an apocalyptic number.

It is an amenable number.

22000232100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000232100013 is an equidigital number, since it uses as much as digits as its factorization.

22000232100013 is an evil number, because the sum of its binary digits is even.

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

Adding to 22000232100013 its reverse (31000123200022), we get a palindrome (53000355300035).

The spelling of 22000232100013 in words is "twenty-two trillion, two hundred thirty-two million, one hundred thousand, thirteen".