13385300 has 18 divisors (see below), whose sum is σ = 29046318. Its totient is φ = 5354080.

The previous prime is 13385299. The next prime is 13385347. The reversal of 13385300 is 358331.

13385300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3055504 + 10329796 = 1748^2 + 3214^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66827 + ... + 67026.

Almost surely, 2^13385300 is an apocalyptic number.

13385300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13385300 is an abundant number, since it is smaller than the sum of its proper divisors (15661018).

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

13385300 is a wasteful number, since it uses less digits than its factorization.

13385300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133867 (or 133860 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13385300 is about 3658.5926255871. The cubic root of 13385300 is about 237.4338874152.

The spelling of 13385300 in words is "thirteen million, three hundred eighty-five thousand, three hundred".