13513200 has 60 divisors (see below), whose sum is σ = 43291128. Its totient is φ = 3603200.

The previous prime is 13513153. The next prime is 13513243. The reversal of 13513200 is 231531.

It is a happy number.

13513200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13513200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4431 + ... + 6830.

Almost surely, 2^13513200 is an apocalyptic number.

13513200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13513200 is an abundant number, since it is smaller than the sum of its proper divisors (29777928).

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

13513200 is a wasteful number, since it uses less digits than its factorization.

13513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13513200 is about 3676.0304677736. The cubic root of 13513200 is about 238.1877387887.

Adding to 13513200 its reverse (231531), we get a palindrome (13744731).

The spelling of 13513200 in words is "thirteen million, five hundred thirteen thousand, two hundred".