413131323 has 8 divisors (see below), whose sum is σ = 600918336. Its totient is φ = 250382600.

The previous prime is 413131259. The next prime is 413131357. The reversal of 413131323 is 323131314.

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 413131323 - 2⁶ = 413131259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413131323.

It is not an unprimeable number, because it can be changed into a prime (413132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6259533 + ... + 6259598.

It is an arithmetic number, because the mean of its divisors is an integer number (75114792).

Almost surely, 2^413131323 is an apocalyptic number.

413131323 is a deficient number, since it is larger than the sum of its proper divisors (187787013).

413131323 is a wasteful number, since it uses less digits than its factorization.

413131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519145.

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

The square root of 413131323 is about 20325.6321672906. The cubic root of 413131323 is about 744.7823474213.

Adding to 413131323 its reverse (323131314), we get a palindrome (736262637).

Subtracting from 413131323 its reverse (323131314), we obtain a palindrome (90000009).

The spelling of 413131323 in words is "four hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-three".