11305442133 has 32 divisors (see below), whose sum is σ = 16884000000. Its totient is φ = 7476359616.

The previous prime is 11305442129. The next prime is 11305442207. The reversal of 11305442133 is 33124450311.

It is a happy number.

11305442133 is a `hidden beast` number, since 113 + 0 + 544 + 2 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 11305442133 - 2² = 11305442129 is a prime.

It is a super-2 number, since 2×11305442133² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11305442097 and 11305442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305442123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1872163 + ... + 1878191.

It is an arithmetic number, because the mean of its divisors is an integer number (527625000).

Almost surely, 2^11305442133 is an apocalyptic number.

It is an amenable number.

11305442133 is a deficient number, since it is larger than the sum of its proper divisors (5578557867).

11305442133 is a wasteful number, since it uses less digits than its factorization.

11305442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11305442133 its reverse (33124450311), we get a palindrome (44429892444).

The spelling of 11305442133 in words is "eleven billion, three hundred five million, four hundred forty-two thousand, one hundred thirty-three".