13328700 has 144 divisors (see below), whose sum is σ = 48163584. Its totient is φ = 2764800.

The previous prime is 13328657. The next prime is 13328701. The reversal of 13328700 is 782331.

13328700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22812 + ... + 23388.

Almost surely, 2^13328700 is an apocalyptic number.

13328700 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 13328700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081792).

13328700 is an abundant number, since it is smaller than the sum of its proper divisors (34834884).

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

13328700 is a wasteful number, since it uses less digits than its factorization.

13328700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13328700 is about 3650.8492162783. The cubic root of 13328700 is about 237.0987499966.

It can be divided in two parts, 13328 and 700, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13328700 in words is "thirteen million, three hundred twenty-eight thousand, seven hundred".