22100011022213 has 2 divisors, whose sum is σ = 22100011022214. Its totient is φ = 22100011022212.

The previous prime is 22100011022123. The next prime is 22100011022249. The reversal of 22100011022213 is 31222011000122.

Together with previous prime (22100011022123) 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., 19195246412644 + 2904764609569 = 4381238^2 + 1704337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22100011022213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100011022191 and 22100011022200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100011222213) 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, 11050005511106 + 11050005511107.

It is an arithmetic number, because the mean of its divisors is an integer number (11050005511107).

Almost surely, 2^{22100011022213} is an apocalyptic number.

It is an amenable number.

22100011022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100011022213 is an equidigital number, since it uses as much as digits as its factorization.

22100011022213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22100011022213 its reverse (31222011000122), we get a palindrome (53322022022335).

The spelling of 22100011022213 in words is "twenty-two trillion, one hundred billion, eleven million, twenty-two thousand, two hundred thirteen".