91133201133 has 96 divisors (see below), whose sum is σ = 150138424800. Its totient is φ = 52870551552.

The previous prime is 91133201069. The next prime is 91133201143. The reversal of 91133201133 is 33110233119.

It can be written as a sum of positive squares in 16 ways, for example, as 2005875369 + 89127325764 = 44787^2 + 298542^2 .

It is not a de Polignac number, because 91133201133 - 2⁶ = 91133201069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 91133201097 and 91133201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91133201143) 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 95 ways as a sum of consecutive naturals, for example, 41179735 + ... + 41181947.

It is an arithmetic number, because the mean of its divisors is an integer number (1563941925).

Almost surely, 2^91133201133 is an apocalyptic number.

It is an amenable number.

91133201133 is a deficient number, since it is larger than the sum of its proper divisors (59005223667).

91133201133 is a wasteful number, since it uses less digits than its factorization.

91133201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 91133201133 in words is "ninety-one billion, one hundred thirty-three million, two hundred one thousand, one hundred thirty-three".