314213342012321 has 8 divisors (see below), whose sum is σ = 323212671623688. Its totient is φ = 305277611904000.

The previous prime is 314213342012249. The next prime is 314213342012329. The reversal of 314213342012321 is 123210243312413.

It can be written as a sum of positive squares in 4 ways, for example, as 24659556973921 + 289553785038400 = 4965839^2 + 17016280^2 .

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 314213342012321 - 2³⁴ = 314196162143137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314213342012329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15899865740 + ... + 15899885501.

It is an arithmetic number, because the mean of its divisors is an integer number (40401583952961).

Almost surely, 2^{314213342012321} is an apocalyptic number.

It is an amenable number.

314213342012321 is a deficient number, since it is larger than the sum of its proper divisors (8999329611367).

314213342012321 is a wasteful number, since it uses less digits than its factorization.

314213342012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31799751523.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 314213342012321 its reverse (123210243312413), we get a palindrome (437423585324734).

The spelling of 314213342012321 in words is "three hundred fourteen trillion, two hundred thirteen billion, three hundred forty-two million, twelve thousand, three hundred twenty-one".