13003200 has 336 divisors, whose sum is σ = 55432960. Its totient is φ = 2903040.

The previous prime is 13003171. The next prime is 13003219. The reversal of 13003200 is 230031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302379 + ... + 302421.

Almost surely, 2^13003200 is an apocalyptic number.

13003200 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 13003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27716480).

13003200 is an abundant number, since it is smaller than the sum of its proper divisors (42429760).

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

13003200 is a wasteful number, since it uses less digits than its factorization.

13003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13003200 is about 3605.9950083160. The cubic root of 13003200 is about 235.1527601918.

Adding to 13003200 its reverse (230031), we get a palindrome (13233231).

It can be divided in two parts, 13003 and 200, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 13003200 in words is "thirteen million, three thousand, two hundred".