814131321 has 16 divisors (see below), whose sum is σ = 1114385664. Its totient is φ = 528436224.

The previous prime is 814131293. The next prime is 814131359. The reversal of 814131321 is 123131418.

It is not a de Polignac number, because 814131321 - 2⁵ = 814131289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814131291 and 814131300.

It is not an unprimeable number, because it can be changed into a prime (814131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12255 + ... + 42171.

It is an arithmetic number, because the mean of its divisors is an integer number (69649104).

Almost surely, 2^814131321 is an apocalyptic number.

It is an amenable number.

814131321 is a deficient number, since it is larger than the sum of its proper divisors (300254343).

814131321 is a wasteful number, since it uses less digits than its factorization.

814131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160.

The product of its digits is 576, while the sum is 24.

The square root of 814131321 is about 28532.9865418957. The cubic root of 814131321 is about 933.7518767222.

Adding to 814131321 its reverse (123131418), we get a palindrome (937262739).

The spelling of 814131321 in words is "eight hundred fourteen million, one hundred thirty-one thousand, three hundred twenty-one".