13813338300 has 72 divisors (see below), whose sum is σ = 40115401200. Its totient is φ = 3669841920.

The previous prime is 13813338299. The next prime is 13813338323. The reversal of 13813338300 is 383331831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4885 + ... + 166284.

It is an arithmetic number, because the mean of its divisors is an integer number (557158350).

Almost surely, 2^13813338300 is an apocalyptic number.

13813338300 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 13813338300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057700600).

13813338300 is an abundant number, since it is smaller than the sum of its proper divisors (26302062900).

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

13813338300 is a wasteful number, since it uses less digits than its factorization.

13813338300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171455 (or 171448 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 13813338300 in words is "thirteen billion, eight hundred thirteen million, three hundred thirty-eight thousand, three hundred".