13230800 has 120 divisors (see below), whose sum is σ = 36164352. Its totient is φ = 4608000.

The previous prime is 13230797. The next prime is 13230803. The reversal of 13230800 is 803231.

It is an interprime number because it is at equal distance from previous prime (13230797) and next prime (13230803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136352 + ... + 136448.

Almost surely, 2^13230800 is an apocalyptic number.

13230800 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 13230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082176).

13230800 is an abundant number, since it is smaller than the sum of its proper divisors (22933552).

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

13230800 is a wasteful number, since it uses less digits than its factorization.

13230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13230800 is about 3637.4166657121. The cubic root of 13230800 is about 236.5168219839.

The spelling of 13230800 in words is "thirteen million, two hundred thirty thousand, eight hundred".