22100332320013 has 2 divisors, whose sum is σ = 22100332320014. Its totient is φ = 22100332320012.

The previous prime is 22100332319977. The next prime is 22100332320043. The reversal of 22100332320013 is 31002323300122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18929129980644 + 3171202339369 = 4350762^2 + 1780787^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100332320013 - 2¹³ = 22100332311821 is a prime.

It is a super-2 number, since 2×22100332320013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100332320043) 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, 11050166160006 + 11050166160007.

It is an arithmetic number, because the mean of its divisors is an integer number (11050166160007).

Almost surely, 2^{22100332320013} is an apocalyptic number.

It is an amenable number.

22100332320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100332320013 is an equidigital number, since it uses as much as digits as its factorization.

22100332320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22100332320013 its reverse (31002323300122), we get a palindrome (53102655620135).

The spelling of 22100332320013 in words is "twenty-two trillion, one hundred billion, three hundred thirty-two million, three hundred twenty thousand, thirteen".