413013321 has 12 divisors (see below), whose sum is σ = 681799872. Its totient is φ = 236007576.

The previous prime is 413013301. The next prime is 413013347. The reversal of 413013321 is 123310314.

413013321 is a `hidden beast` number, since 41 + 301 + 3 + 321 = 666.

It is not a de Polignac number, because 413013321 - 2⁷ = 413013193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413013294 and 413013303.

It is not an unprimeable number, because it can be changed into a prime (413013301) 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 11 ways as a sum of consecutive naturals, for example, 3277821 + ... + 3277946.

It is an arithmetic number, because the mean of its divisors is an integer number (56816656).

Almost surely, 2^413013321 is an apocalyptic number.

It is an amenable number.

413013321 is a deficient number, since it is larger than the sum of its proper divisors (268786551).

413013321 is a wasteful number, since it uses less digits than its factorization.

413013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555780 (or 6555777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 413013321 is about 20322.7291720379. The cubic root of 413013321 is about 744.7114303621.

Adding to 413013321 its reverse (123310314), we get a palindrome (536323635).

The spelling of 413013321 in words is "four hundred thirteen million, thirteen thousand, three hundred twenty-one".