413322133221 has 12 divisors (see below), whose sum is σ = 605931619072. Its totient is φ = 271435430376.

The previous prime is 413322133163. The next prime is 413322133241. The reversal of 413322133221 is 122331223314.

413322133221 is a `hidden beast` number, since 4 + 1 + 3 + 322 + 1 + 332 + 2 + 1 = 666.

It is not a de Polignac number, because 413322133221 - 2⁹ = 413322132709 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 (413322133241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342720901 + ... + 342722106.

Almost surely, 2^413322133221 is an apocalyptic number.

It is an amenable number.

413322133221 is a deficient number, since it is larger than the sum of its proper divisors (192609485851).

413322133221 is a wasteful number, since it uses less digits than its factorization.

413322133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685443080 (or 685443077 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 413322133221 its reverse (122331223314), we get a palindrome (535653356535).

The spelling of 413322133221 in words is "four hundred thirteen billion, three hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty-one".