13004314 has 16 divisors (see below), whose sum is σ = 20295936. Its totient is φ = 6242400.

The previous prime is 13004311. The next prime is 13004317. The reversal of 13004314 is 41340031.

13004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13004311) and next prime (13004317).

It is a super-3 number, since 3×13004314³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13004311) 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, 7729 + ... + 9259.

It is an arithmetic number, because the mean of its divisors is an integer number (1268496).

Almost surely, 2^13004314 is an apocalyptic number.

13004314 is a deficient number, since it is larger than the sum of its proper divisors (7291622).

13004314 is a wasteful number, since it uses less digits than its factorization.

13004314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13004314 is about 3606.1494700026. The cubic root of 13004314 is about 235.1594752747.

Adding to 13004314 its reverse (41340031), we get a palindrome (54344345).

The spelling of 13004314 in words is "thirteen million, four thousand, three hundred fourteen".