11113133331300 has 576 divisors, whose sum is σ = 44338652811264. Its totient is φ = 2073977395200.

The previous prime is 11113133331283. The next prime is 11113133331319. The reversal of 11113133331300 is 313333131111.

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 191 ways as a sum of consecutive naturals, for example, 10611009 + ... + 11611191.

Almost surely, 2^{11113133331300} is an apocalyptic number.

11113133331300 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 11113133331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169326405632).

11113133331300 is an abundant number, since it is smaller than the sum of its proper divisors (33225519479964).

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

11113133331300 is a wasteful number, since it uses less digits than its factorization.

11113133331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000268 (or 1000261 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 11113133331300 its reverse (313333131111), we get a palindrome (11426466462411).

It can be divided in two parts, 11 and 113133331300, that added together give a palindrome (113133331311).

The spelling of 11113133331300 in words is "eleven trillion, one hundred thirteen billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred".