13328702500 has 45 divisors (see below), whose sum is σ = 29159835397. Its totient is φ = 5329172000.

The previous prime is 13328702473. The next prime is 13328702531. The reversal of 13328702500 is 520782331.

The square root of 13328702500 is 115450.

It is a perfect power (a square), and thus also a powerful number.

13328702500 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 7 ways, for example, as 5572025316 + 7756677184 = 74646^2 + 88072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5771346 + ... + 5773654.

Almost surely, 2^13328702500 is an apocalyptic number.

13328702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13328702500 is the 115450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13328702500

13328702500 is an abundant number, since it is smaller than the sum of its proper divisors (15831132897).

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

13328702500 is an frugal number, since it uses more digits than its factorization.

13328702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 13328702500 in words is "thirteen billion, three hundred twenty-eight million, seven hundred two thousand, five hundred".