100022113013 has 2 divisors, whose sum is σ = 100022113014. Its totient is φ = 100022113012.

The previous prime is 100022112997. The next prime is 100022113043. The reversal of 100022113013 is 310311220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98133080644 + 1889032369 = 313262^2 + 43463^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022113013 - 2⁴ = 100022112997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022113043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011056506 + 50011056507.

It is an arithmetic number, because the mean of its divisors is an integer number (50011056507).

Almost surely, 2^100022113013 is an apocalyptic number.

It is an amenable number.

100022113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022113013 is an equidigital number, since it uses as much as digits as its factorization.

100022113013 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 100022113013 its reverse (310311220001), we get a palindrome (410333333014).

The spelling of 100022113013 in words is "one hundred billion, twenty-two million, one hundred thirteen thousand, thirteen".