13005200 has 120 divisors (see below), whose sum is σ = 35034216. Its totient is φ = 4608000.

The previous prime is 13005199. The next prime is 13005203. The reversal of 13005200 is 250031.

It can be written as a sum of positive squares in 12 ways, for example, as 12166144 + 839056 = 3488^2 + 916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213170 + ... + 213230.

Almost surely, 2^13005200 is an apocalyptic number.

13005200 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 13005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517108).

13005200 is an abundant number, since it is smaller than the sum of its proper divisors (22029016).

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

13005200 is a wasteful number, since it uses less digits than its factorization.

13005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13005200 is about 3606.2723136225. The cubic root of 13005200 is about 235.1648157220.

Adding to 13005200 its reverse (250031), we get a palindrome (13255231).

It can be divided in two parts, 1300 and 5200, that multiplied together give a square (6760000 = 2600²).

The spelling of 13005200 in words is "thirteen million, five thousand, two hundred".