42210013 has 2 divisors, whose sum is σ = 42210014. Its totient is φ = 42210012.

The previous prime is 42209983. The next prime is 42210019. The reversal of 42210013 is 31001224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41499364 + 710649 = 6442^2 + 843^2 .

It is a cyclic number.

It is not a de Polignac number, because 42210013 - 2¹³ = 42201821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42209975 and 42210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42210019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21105006 + 21105007.

It is an arithmetic number, because the mean of its divisors is an integer number (21105007).

Almost surely, 2^42210013 is an apocalyptic number.

It is an amenable number.

42210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42210013 is an equidigital number, since it uses as much as digits as its factorization.

42210013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42210013 is about 6496.9233487859. The cubic root of 42210013 is about 348.1810751178.

Adding to 42210013 its reverse (31001224), we get a palindrome (73211237).

The spelling of 42210013 in words is "forty-two million, two hundred ten thousand, thirteen".