422100013 has 2 divisors, whose sum is σ = 422100014. Its totient is φ = 422100012.

The previous prime is 422100011. The next prime is 422100023. The reversal of 422100013 is 310001224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237221604 + 184878409 = 15402^2 + 13597^2 .

It is a cyclic number.

It is not a de Polignac number, because 422100013 - 2¹ = 422100011 is a prime.

Together with 422100011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 422099966 and 422100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (422100011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 211050006 + 211050007.

It is an arithmetic number, because the mean of its divisors is an integer number (211050007).

Almost surely, 2^422100013 is an apocalyptic number.

It is an amenable number.

422100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

422100013 is an equidigital number, since it uses as much as digits as its factorization.

422100013 is an evil number, because the sum of its binary digits is even.

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

The square root of 422100013 is about 20545.0727182943. The cubic root of 422100013 is about 750.1333173376.

Adding to 422100013 its reverse (310001224), we get a palindrome (732101237).

The spelling of 422100013 in words is "four hundred twenty-two million, one hundred thousand, thirteen".