413312121 has 12 divisors (see below), whose sum is σ = 604564480. Its totient is φ = 272053080.

The previous prime is 413312083. The next prime is 413312129. The reversal of 413312121 is 121213314.

It is not a de Polignac number, because 413312121 - 2⁷ = 413311993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413312094 and 413312103.

It is not an unprimeable number, because it can be changed into a prime (413312129) 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, 289945 + ... + 291366.

Almost surely, 2^413312121 is an apocalyptic number.

It is an amenable number.

413312121 is a deficient number, since it is larger than the sum of its proper divisors (191252359).

413312121 is a wasteful number, since it uses less digits than its factorization.

413312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581396 (or 581393 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 413312121 is about 20330.0792177502. The cubic root of 413312121 is about 744.8909775453.

Adding to 413312121 its reverse (121213314), we get a palindrome (534525435).

The spelling of 413312121 in words is "four hundred thirteen million, three hundred twelve thousand, one hundred twenty-one".