22002100013 has 2 divisors, whose sum is σ = 22002100014. Its totient is φ = 22002100012.

The previous prime is 22002099979. The next prime is 22002100091. The reversal of 22002100013 is 31000120022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13404545284 + 8597554729 = 115778^2 + 92723^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002100013 - 2¹⁶ = 22002034477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002099967 and 22002100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22002100513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001050006 + 11001050007.

It is an arithmetic number, because the mean of its divisors is an integer number (11001050007).

Almost surely, 2^22002100013 is an apocalyptic number.

It is an amenable number.

22002100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002100013 is an equidigital number, since it uses as much as digits as its factorization.

22002100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 22002100013 its reverse (31000120022), we get a palindrome (53002220035).

The spelling of 22002100013 in words is "twenty-two billion, two million, one hundred thousand, thirteen".