420322013 has 2 divisors, whose sum is σ = 420322014. Its totient is φ = 420322012.

The previous prime is 420322003. The next prime is 420322031. The reversal of 420322013 is 310223024.

Together with next prime (420322031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388760089 + 31561924 = 19717^2 + 5618^2 .

It is a cyclic number.

It is not a de Polignac number, because 420322013 - 2¹² = 420317917 is a prime.

It is a super-2 number, since 2×420322013² = 353341189224744338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420321982 and 420322000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420322003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210161006 + 210161007.

It is an arithmetic number, because the mean of its divisors is an integer number (210161007).

Almost surely, 2^420322013 is an apocalyptic number.

It is an amenable number.

420322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

420322013 is an equidigital number, since it uses as much as digits as its factorization.

420322013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 420322013 is about 20501.7563393969. The cubic root of 420322013 is about 749.0785798509.

Adding to 420322013 its reverse (310223024), we get a palindrome (730545037).

The spelling of 420322013 in words is "four hundred twenty million, three hundred twenty-two thousand, thirteen".