413201331 has 24 divisors (see below), whose sum is σ = 622592880. Its totient is φ = 273847392.

The previous prime is 413201317. The next prime is 413201351. The reversal of 413201331 is 133102314.

It is not a de Polignac number, because 413201331 - 2⁷ = 413201203 is a prime.

It is a super-2 number, since 2×413201331² = 341470679880343122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413201351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37125 + ... + 46953.

It is an arithmetic number, because the mean of its divisors is an integer number (25941370).

Almost surely, 2^413201331 is an apocalyptic number.

413201331 is a deficient number, since it is larger than the sum of its proper divisors (209391549).

413201331 is an equidigital number, since it uses as much as digits as its factorization.

413201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10005 counting only the distinct ones).

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

The square root of 413201331 is about 20327.3542547967. The cubic root of 413201331 is about 744.8244145758.

Adding to 413201331 its reverse (133102314), we get a palindrome (546303645).

The spelling of 413201331 in words is "four hundred thirteen million, two hundred one thousand, three hundred thirty-one".