22100030110013 has 2 divisors, whose sum is σ = 22100030110014. Its totient is φ = 22100030110012.

The previous prime is 22100030109979. The next prime is 22100030110021. The reversal of 22100030110013 is 31001103000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16211268847684 + 5888761262329 = 4026322^2 + 2426677^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100030110013 - 2¹⁴ = 22100030093629 is a prime.

It is a super-2 number, since 2×22100030110013² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22100030110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100030110913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050015055006 + 11050015055007.

It is an arithmetic number, because the mean of its divisors is an integer number (11050015055007).

Almost surely, 2^{22100030110013} is an apocalyptic number.

It is an amenable number.

22100030110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100030110013 is an equidigital number, since it uses as much as digits as its factorization.

22100030110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 22100030110013 its reverse (31001103000122), we get a palindrome (53101133110135).

The spelling of 22100030110013 in words is "twenty-two trillion, one hundred billion, thirty million, one hundred ten thousand, thirteen".