413133231 has 32 divisors (see below), whose sum is σ = 650073600. Its totient is φ = 228445056.

The previous prime is 413133221. The next prime is 413133239. The reversal of 413133231 is 132331314.

It is not a de Polignac number, because 413133231 - 2⁹ = 413132719 is a prime.

It is a super-2 number, since 2×413133231² = 341358133112998722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413133198 and 413133207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413133239) 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 31 ways as a sum of consecutive naturals, for example, 151720 + ... + 154418.

It is an arithmetic number, because the mean of its divisors is an integer number (20314800).

Almost surely, 2^413133231 is an apocalyptic number.

413133231 is a deficient number, since it is larger than the sum of its proper divisors (236940369).

413133231 is a wasteful number, since it uses less digits than its factorization.

413133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943.

The product of its digits is 648, while the sum is 21.

The square root of 413133231 is about 20325.6791030460. The cubic root of 413133231 is about 744.7834939837.

Adding to 413133231 its reverse (132331314), we get a palindrome (545464545).

It can be divided in two parts, 41313 and 3231, that added together give a palindrome (44544).

The spelling of 413133231 in words is "four hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-one".