16013 has 4 divisors (see below), whose sum is σ = 16320. Its totient is φ = 15708.

The previous prime is 16007. The next prime is 16033. The reversal of 16013 is 31061.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31061 = 89 ⋅349.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15985 and 16003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (4080).

2¹⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

16013 is a deficient number, since it is larger than the sum of its proper divisors (307).

16013 is an equidigital number, since it uses as much as digits as its factorization.

16013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

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

The square root of 16013 is about 126.5424829850. The cubic root of 16013 is about 25.2052437228.

Adding to 16013 its reverse (31061), we get a palindrome (47074).

It can be divided in two parts, 160 and 13, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 16013 in words is "sixteen thousand, thirteen".