42820013 has 2 divisors, whose sum is σ = 42820014. Its totient is φ = 42820012.

The previous prime is 42820007. The next prime is 42820033. The reversal of 42820013 is 31002824.

42820013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (42820033) can be obtained adding 42820013 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28697449 + 14122564 = 5357^2 + 3758^2 .

It is a cyclic number.

It is not a de Polignac number, because 42820013 - 2⁸ = 42819757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42820003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21410006 + 21410007.

It is an arithmetic number, because the mean of its divisors is an integer number (21410007).

Almost surely, 2^42820013 is an apocalyptic number.

It is an amenable number.

42820013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42820013 is an equidigital number, since it uses as much as digits as its factorization.

42820013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42820013 is about 6543.7002529150. The cubic root of 42820013 is about 349.8503115003.

Adding to 42820013 its reverse (31002824), we get a palindrome (73822837).

The spelling of 42820013 in words is "forty-two million, eight hundred twenty thousand, thirteen".