13317200 has 90 divisors (see below), whose sum is σ = 34820874. Its totient is φ = 4892160.

The previous prime is 13317191. The next prime is 13317203. The reversal of 13317200 is 271331.

It can be written as a sum of positive squares in 9 ways, for example, as 4293184 + 9024016 = 2072^2 + 3004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67502 + ... + 67698.

Almost surely, 2^13317200 is an apocalyptic number.

13317200 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 13317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410437).

13317200 is an abundant number, since it is smaller than the sum of its proper divisors (21503674).

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

13317200 is a wasteful number, since it uses less digits than its factorization.

13317200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13317200 is about 3649.2739003807. The cubic root of 13317200 is about 237.0305407894.

Adding to 13317200 its reverse (271331), we get a palindrome (13588531).

The spelling of 13317200 in words is "thirteen million, three hundred seventeen thousand, two hundred".