13014 has 16 divisors (see below), whose sum is σ = 29040. Its totient is φ = 4320.

The previous prime is 13009. The next prime is 13033. The reversal of 13014 is 41031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12987 and 13005.

It is a congruent number.

It is an unprimeable number.

13014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1815).

2¹³⁰¹⁴ is an apocalyptic number.

13014 is an abundant number, since it is smaller than the sum of its proper divisors (16026).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520).

13014 is a wasteful number, since it uses less digits than its factorization.

13014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13014 is about 114.0789200510. The cubic root of 13014 is about 23.5217845377.

Adding to 13014 its reverse (41031), we get a palindrome (54045).

It can be divided in two parts, 130 and 14, that added together give a square (144 = 12²).

The spelling of 13014 in words is "thirteen thousand, fourteen".