13005314 has 16 divisors (see below), whose sum is σ = 22389696. Its totient is φ = 5550000.

The previous prime is 13005301. The next prime is 13005319. The reversal of 13005314 is 41350031.

It is a junction number, because it is equal to n+sod(n) for n = 13005292 and 13005301.

It is not an unprimeable number, because it can be changed into a prime (13005319) 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, 1664 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (1399356).

Almost surely, 2^13005314 is an apocalyptic number.

13005314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13005314 is a deficient number, since it is larger than the sum of its proper divisors (9384382).

13005314 is a wasteful number, since it uses less digits than its factorization.

13005314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13005314 is about 3606.2881193826. The cubic root of 13005314 is about 235.1655028500.

Adding to 13005314 its reverse (41350031), we get a palindrome (54355345).

The spelling of 13005314 in words is "thirteen million, five thousand, three hundred fourteen".