22022100013 has 16 divisors (see below), whose sum is σ = 23541207552. Its totient is φ = 20566728000.

The previous prime is 22022099989. The next prime is 22022100029. The reversal of 22022100013 is 31000122022.

It is a cyclic number.

It is not a de Polignac number, because 22022100013 - 2²⁵ = 21988545581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22022099966 and 22022100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022100073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9643 + ... + 210088.

It is an arithmetic number, because the mean of its divisors is an integer number (1471325472).

Almost surely, 2^22022100013 is an apocalyptic number.

It is an amenable number.

22022100013 is a deficient number, since it is larger than the sum of its proper divisors (1519107539).

22022100013 is a wasteful number, since it uses less digits than its factorization.

22022100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219876.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22022100013 its reverse (31000122022), we get a palindrome (53022222035).

The spelling of 22022100013 in words is "twenty-two billion, twenty-two million, one hundred thousand, thirteen".