11223313323300 has 432 divisors, whose sum is σ = 38169074245120. Its totient is φ = 2741973120000.

The previous prime is 11223313323289. The next prime is 11223313323301. The reversal of 11223313323300 is 332331332211.

11223313323300 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 31 + 3 + 323 + 300 = 666.

It is a super-3 number, since 3×11223313323300³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11223313323301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2863818741 + ... + 2863822659.

Almost surely, 2^{11223313323300} is an apocalyptic number.

11223313323300 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 11223313323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084537122560).

11223313323300 is an abundant number, since it is smaller than the sum of its proper divisors (26945760921820).

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

11223313323300 is a wasteful number, since it uses less digits than its factorization.

11223313323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11223313323300 its reverse (332331332211), we get a palindrome (11555644655511).

The spelling of 11223313323300 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirteen million, three hundred twenty-three thousand, three hundred".