13300 has 36 divisors (see below), whose sum is σ = 34720. Its totient is φ = 4320.

The previous prime is 13297. The next prime is 13309. The reversal of 13300 is 331.

13300 = 11² + 12² + ... + 34².

It is a happy number.

It is a sliding number, since 13300 = 800 + 12500 and 1/800 + 1/12500 = 0.0013300.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13309) 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, 691 + ... + 709.

2¹³³⁰⁰ is an apocalyptic number.

13300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360).

13300 is an abundant number, since it is smaller than the sum of its proper divisors (21420).

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

13300 is a wasteful number, since it uses less digits than its factorization.

13300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 13300 is about 115.3256259467. The cubic root of 13300 is about 23.6928450216.

Adding to 13300 its reverse (331), we get a palindrome (13631).

It can be divided in two parts, 13 and 300, that added together give a palindrome (313).

The spelling of 13300 in words is "thirteen thousand, three hundred".