22101110230013 has 2 divisors, whose sum is σ = 22101110230014. Its totient is φ = 22101110230012.

The previous prime is 22101110230007. The next prime is 22101110230037. The reversal of 22101110230013 is 31003201110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21952251614329 + 148858615684 = 4685323^2 + 385822^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101110230013 - 2¹² = 22101110225917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101110229973 and 22101110230000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101110238013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050555115006 + 11050555115007.

It is an arithmetic number, because the mean of its divisors is an integer number (11050555115007).

Almost surely, 2^{22101110230013} is an apocalyptic number.

It is an amenable number.

22101110230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101110230013 is an equidigital number, since it uses as much as digits as its factorization.

22101110230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 22101110230013 its reverse (31003201110122), we get a palindrome (53104311340135).

The spelling of 22101110230013 in words is "twenty-two trillion, one hundred one billion, one hundred ten million, two hundred thirty thousand, thirteen".