413113331 has 8 divisors (see below), whose sum is σ = 417660624. Its totient is φ = 408575200.

The previous prime is 413113321. The next prime is 413113343. The reversal of 413113331 is 133311314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413113331 - 2¹⁴ = 413096947 is a prime.

It is a super-2 number, since 2×413113331² = 341325248499831122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127376 + ... + 130578.

It is an arithmetic number, because the mean of its divisors is an integer number (52207578).

Almost surely, 2^413113331 is an apocalyptic number.

413113331 is a deficient number, since it is larger than the sum of its proper divisors (4547293).

413113331 is a wasteful number, since it uses less digits than its factorization.

413113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581.

The product of its digits is 324, while the sum is 20.

The square root of 413113331 is about 20325.1895686117. The cubic root of 413113331 is about 744.7715354286.

Adding to 413113331 its reverse (133311314), we get a palindrome (546424645).

The spelling of 413113331 in words is "four hundred thirteen million, one hundred thirteen thousand, three hundred thirty-one".