413231132313 has 12 divisors (see below), whose sum is σ = 596896777620. Its totient is φ = 275484022656.

The previous prime is 413231132267. The next prime is 413231132357. The reversal of 413231132313 is 313231132314.

413231132313 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 311 + 32 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99421657344 + 313809474969 = 315312^2 + 560187^2 .

It is not a de Polignac number, because 413231132313 - 2¹⁰ = 413231131289 is a prime.

It is a super-2 number, since 2×413231132313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413231132393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647845 + ... + 1116317.

It is an arithmetic number, because the mean of its divisors is an integer number (49741398135).

Almost surely, 2^413231132313 is an apocalyptic number.

It is an amenable number.

413231132313 is a deficient number, since it is larger than the sum of its proper divisors (183665645307).

413231132313 is a wasteful number, since it uses less digits than its factorization.

413231132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566488 (or 566485 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 413231132313 its reverse (313231132314), we get a palindrome (726462264627).

Subtracting from 413231132313 its reverse (313231132314), we obtain a palindrome (99999999999).

The spelling of 413231132313 in words is "four hundred thirteen billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".