2022100013 has 2 divisors, whose sum is σ = 2022100014. Its totient is φ = 2022100012.

The previous prime is 2022099997. The next prime is 2022100019. The reversal of 2022100013 is 3100012202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2008653124 + 13446889 = 44818^2 + 3667^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022100013 - 2⁴ = 2022099997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2022099967 and 2022100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011050006 + 1011050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1011050007).

Almost surely, 2^2022100013 is an apocalyptic number.

It is an amenable number.

2022100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022100013 is an equidigital number, since it uses as much as digits as its factorization.

2022100013 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.

The square root of 2022100013 is about 44967.7663777066. The cubic root of 2022100013 is about 1264.5447726933.

Adding to 2022100013 its reverse (3100012202), we get a palindrome (5122112215).

The spelling of 2022100013 in words is "two billion, twenty-two million, one hundred thousand, thirteen".