13201314 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 3507840.

The previous prime is 13201291. The next prime is 13201327. The reversal of 13201314 is 41310231.

It is a junction number, because it is equal to n+sod(n) for n = 13201293 and 13201302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56542 + ... + 56774.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^13201314 is an apocalyptic number.

13201314 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 13201314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13201314 is an abundant number, since it is smaller than the sum of its proper divisors (19146846).

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

13201314 is a wasteful number, since it uses less digits than its factorization.

13201314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13201314 is about 3633.3612537154. The cubic root of 13201314 is about 236.3409917969.

Adding to 13201314 its reverse (41310231), we get a palindrome (54511545).

The spelling of 13201314 in words is "thirteen million, two hundred one thousand, three hundred fourteen".