13125300 has 72 divisors (see below), whose sum is σ = 38601696. Its totient is φ = 3442560.

The previous prime is 13125293. The next prime is 13125311. The reversal of 13125300 is 352131.

It is a happy number.

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

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 13125300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19774 + ... + 20426.

Almost surely, 2^13125300 is an apocalyptic number.

13125300 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 13125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300848).

13125300 is an abundant number, since it is smaller than the sum of its proper divisors (25476396).

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

13125300 is a wasteful number, since it uses less digits than its factorization.

13125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

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

The square root of 13125300 is about 3622.8855902443. The cubic root of 13125300 is about 235.8864962189.

Adding to 13125300 its reverse (352131), we get a palindrome (13477431).

The spelling of 13125300 in words is "thirteen million, one hundred twenty-five thousand, three hundred".