13383766500 has 192 divisors, whose sum is σ = 42686542080. Its totient is φ = 3238348800.

The previous prime is 13383766499. The next prime is 13383766507. The reversal of 13383766500 is 566738331.

13383766500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13383766507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1144684 + ... + 1156316.

It is an arithmetic number, because the mean of its divisors is an integer number (222325740).

Almost surely, 2^13383766500 is an apocalyptic number.

13383766500 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 13383766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343271040).

13383766500 is an abundant number, since it is smaller than the sum of its proper divisors (29302775580).

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

13383766500 is a wasteful number, since it uses less digits than its factorization.

13383766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 13383766500 in words is "thirteen billion, three hundred eighty-three million, seven hundred sixty-six thousand, five hundred".