13111103233200 has 480 divisors, whose sum is σ = 48576941670400. Its totient is φ = 2960882242560.

The previous prime is 13111103233181. The next prime is 13111103233259. The reversal of 13111103233200 is 233230111131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379805541 + ... + 379840059.

Almost surely, 2^{13111103233200} is an apocalyptic number.

13111103233200 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 13111103233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288470835200).

13111103233200 is an abundant number, since it is smaller than the sum of its proper divisors (35465838437200).

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

13111103233200 is a wasteful number, since it uses less digits than its factorization.

13111103233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35089 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13111103233200 its reverse (233230111131), we get a palindrome (13344333344331).

The spelling of 13111103233200 in words is "thirteen trillion, one hundred eleven billion, one hundred three million, two hundred thirty-three thousand, two hundred".