13314000314 has 8 divisors (see below), whose sum is σ = 19975722228. Its totient is φ = 6655426240.

The previous prime is 13314000307. The next prime is 13314000331. The reversal of 13314000314 is 41300041331.

13314000314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8829421225 + 4484579089 = 93965^2 + 66967^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×13314000314² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 776357 + ... + 793320.

Almost surely, 2^13314000314 is an apocalyptic number.

13314000314 is a deficient number, since it is larger than the sum of its proper divisors (6661721914).

13314000314 is a wasteful number, since it uses less digits than its factorization.

13314000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573920.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13314000314 its reverse (41300041331), we get a palindrome (54614041645).

The spelling of 13314000314 in words is "thirteen billion, three hundred fourteen million, three hundred fourteen", and thus it is an aban number.