11300133222000 has 960 divisors, whose sum is σ = 46389558878208. Its totient is φ = 2509574400000.

The previous prime is 11300133221999. The next prime is 11300133222061. The reversal of 11300133222000 is 22233100311.

11300133222000 is a `hidden beast` number, since 1 + 130 + 0 + 1 + 332 + 2 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 4806520825 + ... + 4806523175.

Almost surely, 2^{11300133222000} is an apocalyptic number.

11300133222000 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 11300133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194779439104).

11300133222000 is an abundant number, since it is smaller than the sum of its proper divisors (35089425656208).

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

11300133222000 is a wasteful number, since it uses less digits than its factorization.

11300133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11300133222000 its reverse (22233100311), we get a palindrome (11322366322311).

The spelling of 11300133222000 in words is "eleven trillion, three hundred billion, one hundred thirty-three million, two hundred twenty-two thousand".