13327314 has 96 divisors (see below), whose sum is σ = 36542016. Its totient is φ = 3185280.

The previous prime is 13327297. The next prime is 13327343. The reversal of 13327314 is 41372331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41884 + ... + 42200.

It is an arithmetic number, because the mean of its divisors is an integer number (380646).

Almost surely, 2^13327314 is an apocalyptic number.

13327314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13327314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271008).

13327314 is an abundant number, since it is smaller than the sum of its proper divisors (23214702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13327314 is a wasteful number, since it uses less digits than its factorization.

13327314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 13327314 is about 3650.6593924934. The cubic root of 13327314 is about 237.0905313842.

Adding to 13327314 its reverse (41372331), we get a palindrome (54699645).

It can be divided in two parts, 1332 and 7314, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13327314 in words is "thirteen million, three hundred twenty-seven thousand, three hundred fourteen".