13331800 has 48 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 5289600.

The previous prime is 13331797. The next prime is 13331809. The reversal of 13331800 is 813331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38026 + ... + 38374.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^13331800 is an apocalyptic number.

13331800 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 13331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

13331800 is an abundant number, since it is smaller than the sum of its proper divisors (17916200).

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

13331800 is a wasteful number, since it uses less digits than its factorization.

13331800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13331800 is about 3651.2737503507. The cubic root of 13331800 is about 237.1171301124.

The spelling of 13331800 in words is "thirteen million, three hundred thirty-one thousand, eight hundred".