13083 has 12 divisors (see below), whose sum is σ = 20520. Its totient is φ = 7392.

The previous prime is 13063. The next prime is 13093. The reversal of 13083 is 38031.

It is a de Polignac number, because none of the positive numbers 2^k-13083 is a prime.

13083 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹³⁰⁸³ is an apocalyptic number.

13083 is a deficient number, since it is larger than the sum of its proper divisors (7437).

13083 is an equidigital number, since it uses as much as digits as its factorization.

13083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

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

The square root of 13083 is about 114.3809424686. The cubic root of 13083 is about 23.5632819808.

The spelling of 13083 in words is "thirteen thousand, eighty-three".