413213321 has 16 divisors (see below), whose sum is σ = 426980160. Its totient is φ = 399748800.

The previous prime is 413213309. The next prime is 413213323. The reversal of 413213321 is 123312314.

It is not a de Polignac number, because 413213321 - 2¹⁴ = 413196937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413213293 and 413213302.

It is not an unprimeable number, because it can be changed into a prime (413213323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535975 + ... + 1536243.

It is an arithmetic number, because the mean of its divisors is an integer number (26686260).

Almost surely, 2^413213321 is an apocalyptic number.

It is an amenable number.

413213321 is a deficient number, since it is larger than the sum of its proper divisors (13766839).

413213321 is a wasteful number, since it uses less digits than its factorization.

413213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its digits is 432, while the sum is 20.

The square root of 413213321 is about 20327.6491754457. The cubic root of 413213321 is about 744.8316187784.

Adding to 413213321 its reverse (123312314), we get a palindrome (536525635).

The spelling of 413213321 in words is "four hundred thirteen million, two hundred thirteen thousand, three hundred twenty-one".