13312500 has 84 divisors (see below), whose sum is σ = 39374496. Its totient is φ = 3500000.

The previous prime is 13312493. The next prime is 13312517. The reversal of 13312500 is 521331.

It is a happy number.

13312500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13312500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 187465 + ... + 187535.

It is an arithmetic number, because the mean of its divisors is an integer number (468744).

Almost surely, 2^13312500 is an apocalyptic number.

13312500 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 13312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687248).

13312500 is an abundant number, since it is smaller than the sum of its proper divisors (26061996).

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

13312500 is an frugal number, since it uses more digits than its factorization.

13312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

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

The square root of 13312500 is about 3648.6298798316. The cubic root of 13312500 is about 237.0026526791.

Adding to 13312500 its reverse (521331), we get a palindrome (13833831).

The spelling of 13312500 in words is "thirteen million, three hundred twelve thousand, five hundred".