413320013 has 2 divisors, whose sum is σ = 413320014. Its totient is φ = 413320012.

The previous prime is 413320003. The next prime is 413320027. The reversal of 413320013 is 310023314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373339684 + 39980329 = 19322^2 + 6323^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413320013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413319973 and 413320000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413320003) 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, 206660006 + 206660007.

It is an arithmetic number, because the mean of its divisors is an integer number (206660007).

Almost surely, 2^413320013 is an apocalyptic number.

It is an amenable number.

413320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413320013 is an equidigital number, since it uses as much as digits as its factorization.

413320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413320013 is about 20330.2733134604. The cubic root of 413320013 is about 744.8957186291.

Adding to 413320013 its reverse (310023314), we get a palindrome (723343327).

The spelling of 413320013 in words is "four hundred thirteen million, three hundred twenty thousand, thirteen".