11331321302133 has 96 divisors (see below), whose sum is σ = 19751113654272. Its totient is φ = 6120243360000.

The previous prime is 11331321302123. The next prime is 11331321302137. The reversal of 11331321302133 is 33120312313311.

11331321302133 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 321 + 302 + 1 + 33 = 666.

It is not a de Polignac number, because 11331321302133 - 2¹⁴ = 11331321285749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331321302097 and 11331321302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331321302137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46067113 + ... + 46312433.

It is an arithmetic number, because the mean of its divisors is an integer number (205740767232).

Almost surely, 2^{11331321302133} is an apocalyptic number.

It is an amenable number.

11331321302133 is a deficient number, since it is larger than the sum of its proper divisors (8419792352139).

11331321302133 is a wasteful number, since it uses less digits than its factorization.

11331321302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245735 (or 245732 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331321302133 its reverse (33120312313311), we get a palindrome (44451633615444).

The spelling of 11331321302133 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred two thousand, one hundred thirty-three".