334313000112321 has 20 divisors (see below), whose sum is σ = 499406355740292. Its totient is φ = 222875103097728.

The previous prime is 334313000112257. The next prime is 334313000112341. The reversal of 334313000112321 is 123211000313433.

334313000112321 is a `hidden beast` number, since 3 + 3 + 4 + 31 + 300 + 0 + 1 + 1 + 2 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237238977774096 + 97074022338225 = 15402564^2 + 9852615^2 .

It is not a de Polignac number, because 334313000112321 - 2⁶ = 334313000112257 is a prime.

It is a super-2 number, since 2×334313000112321² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (334313000112341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118832485 + ... + 121613261.

Almost surely, 2^{334313000112321} is an apocalyptic number.

It is an amenable number.

334313000112321 is a deficient number, since it is larger than the sum of its proper divisors (165093355627971).

334313000112321 is a wasteful number, since it uses less digits than its factorization.

334313000112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265022 (or 4265013 counting only the distinct ones).

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

Adding to 334313000112321 its reverse (123211000313433), we get a palindrome (457524000425754).

The spelling of 334313000112321 in words is "three hundred thirty-four trillion, three hundred thirteen billion, one hundred twelve thousand, three hundred twenty-one".