13319380800 has 420 divisors, whose sum is σ = 53415200256. Its totient is φ = 3228595200.

The previous prime is 13319380793. The next prime is 13319380829. The reversal of 13319380800 is 808391331.

13319380800 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 (36).

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 1420929 + ... + 1430271.

Almost surely, 2^13319380800 is an apocalyptic number.

13319380800 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 13319380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707600128).

13319380800 is an abundant number, since it is smaller than the sum of its proper divisors (40095819456).

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

13319380800 is a wasteful number, since it uses less digits than its factorization.

13319380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13319380800 in words is "thirteen billion, three hundred nineteen million, three hundred eighty thousand, eight hundred".