11300221333233 has 48 divisors (see below), whose sum is σ = 19243130015616. Its totient is φ = 6256615115520.

The previous prime is 11300221333231. The next prime is 11300221333243. The reversal of 11300221333233 is 33233312200311.

11300221333233 is a `hidden beast` number, since 1 + 1 + 300 + 2 + 2 + 1 + 33 + 323 + 3 = 666.

It is not a de Polignac number, because 11300221333233 - 2¹ = 11300221333231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11300221333197 and 11300221333206.

It is not an unprimeable number, because it can be changed into a prime (11300221333231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21686316 + ... + 22201277.

It is an arithmetic number, because the mean of its divisors is an integer number (400898541992).

Almost surely, 2^{11300221333233} is an apocalyptic number.

It is an amenable number.

11300221333233 is a deficient number, since it is larger than the sum of its proper divisors (7942908682383).

11300221333233 is a wasteful number, since it uses less digits than its factorization.

11300221333233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43887734 (or 43887731 counting only the distinct ones).

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

Adding to 11300221333233 its reverse (33233312200311), we get a palindrome (44533533533544).

The spelling of 11300221333233 in words is "eleven trillion, three hundred billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred thirty-three".