2202100013 has 2 divisors, whose sum is σ = 2202100014. Its totient is φ = 2202100012.

The previous prime is 2202099997. The next prime is 2202100027. The reversal of 2202100013 is 3100012022.

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., 1811523844 + 390576169 = 42562^2 + 19763^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202100013 - 2⁴ = 2202099997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202099967 and 2202100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202100073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101050006 + 1101050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1101050007).

Almost surely, 2^2202100013 is an apocalyptic number.

It is an amenable number.

2202100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202100013 is an equidigital number, since it uses as much as digits as its factorization.

2202100013 is an evil number, because the sum of its binary digits is even.

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

The square root of 2202100013 is about 46926.5384723826. The cubic root of 2202100013 is about 1301.0051423611.

Adding to 2202100013 its reverse (3100012022), we get a palindrome (5302112035).

The spelling of 2202100013 in words is "two billion, two hundred two million, one hundred thousand, thirteen".