314131323321 has 6 divisors (see below), whose sum is σ = 453745244810. Its totient is φ = 209420882208.

The previous prime is 314131323307. The next prime is 314131323343. The reversal of 314131323321 is 123323131413.

314131323321 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 313 + 23 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162993875625 + 151137447696 = 403725^2 + 388764^2 .

It is not a de Polignac number, because 314131323321 - 2¹⁸ = 314131061177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314131323301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17451740176 + ... + 17451740193.

Almost surely, 2^314131323321 is an apocalyptic number.

It is an amenable number.

314131323321 is a deficient number, since it is larger than the sum of its proper divisors (139613921489).

314131323321 is a wasteful number, since it uses less digits than its factorization.

314131323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34903480375 (or 34903480372 counting only the distinct ones).

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

Adding to 314131323321 its reverse (123323131413), we get a palindrome (437454454734).

The spelling of 314131323321 in words is "three hundred fourteen billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty-one".