413340013 has 4 divisors (see below), whose sum is σ = 413634780. Its totient is φ = 413045248.

The previous prime is 413340007. The next prime is 413340071. The reversal of 413340013 is 310043314.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 210192004 + 203148009 = 14498^2 + 14253^2 .

It is a cyclic number.

It is not a de Polignac number, because 413340013 - 2⁵ = 413339981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413340073) 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 in 3 ways as a sum of consecutive naturals, for example, 145270 + ... + 148087.

It is an arithmetic number, because the mean of its divisors is an integer number (103408695).

Almost surely, 2^413340013 is an apocalyptic number.

It is an amenable number.

413340013 is a deficient number, since it is larger than the sum of its proper divisors (294767).

413340013 is a wasteful number, since it uses less digits than its factorization.

413340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294766.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 413340013 is about 20330.7651848129. The cubic root of 413340013 is about 744.9077332696.

Adding to 413340013 its reverse (310043314), we get a palindrome (723383327).

The spelling of 413340013 in words is "four hundred thirteen million, three hundred forty thousand, thirteen".