13016 has 8 divisors (see below), whose sum is σ = 24420. Its totient is φ = 6504.

The previous prime is 13009. The next prime is 13033. The reversal of 13016 is 61031.

13016 = T₅₃ + T₅₄ + ... + T₆₀.

13016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12988 and 13006.

It is a congruent number.

It is an unprimeable number.

13016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 806 + ... + 821.

2¹³⁰¹⁶ is an apocalyptic number.

It is an amenable number.

13016 is a deficient number, since it is larger than the sum of its proper divisors (11404).

13016 is a wasteful number, since it uses less digits than its factorization.

13016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13016 is about 114.0876855756. The cubic root of 13016 is about 23.5229894237.

Adding to 13016 its reverse (61031), we get a palindrome (74047).

It can be divided in two parts, 130 and 16, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 13016 in words is "thirteen thousand, sixteen".