13316800 has 168 divisors, whose sum is σ = 39684960. Its totient is φ = 4300800.

The previous prime is 13316791. The next prime is 13316801. The reversal of 13316800 is 861331.

13316800 = T₃₀₁ + T₃₀₂ + ... + T₄₇₄.

It is not an unprimeable number, because it can be changed into a prime (13316801) 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, 324780 + ... + 324820.

It is an arithmetic number, because the mean of its divisors is an integer number (236220).

Almost surely, 2^13316800 is an apocalyptic number.

13316800 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 13316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

13316800 is an abundant number, since it is smaller than the sum of its proper divisors (26368160).

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

13316800 is a wasteful number, since it uses less digits than its factorization.

13316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13316800 is about 3649.2190945461. The cubic root of 13316800 is about 237.0281675887.

The spelling of 13316800 in words is "thirteen million, three hundred sixteen thousand, eight hundred".