22222110100013 has 8 divisors (see below), whose sum is σ = 22282066701048. Its totient is φ = 22162155531264.

The previous prime is 22222110099989. The next prime is 22222110100019. The reversal of 22222110100013 is 31000101122222.

It can be written as a sum of positive squares in 4 ways, for example, as 2213423866564 + 20008686233449 = 1487758^2 + 4473107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22222110100013 - 2¹⁰ = 22222110098989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22222110099964 and 22222110100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222110100019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22834745 + ... + 23788017.

It is an arithmetic number, because the mean of its divisors is an integer number (2785258337631).

Almost surely, 2^{22222110100013} is an apocalyptic number.

It is an amenable number.

22222110100013 is a deficient number, since it is larger than the sum of its proper divisors (59956601035).

22222110100013 is an equidigital number, since it uses as much as digits as its factorization.

22222110100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016143.

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

Adding to 22222110100013 its reverse (31000101122222), we get a palindrome (53222211222235).

The spelling of 22222110100013 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred ten million, one hundred thousand, thirteen".