10041312133 has 18 divisors (see below), whose sum is σ = 10414163634. Its totient is φ = 9681678144.

The previous prime is 10041312103. The next prime is 10041312161. The reversal of 10041312133 is 33121314001.

It can be written as a sum of positive squares in 3 ways, for example, as 355209409 + 9686102724 = 18847^2 + 98418^2 .

It is not a de Polignac number, because 10041312133 - 2¹⁷ = 10041181061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10041312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11771335 + ... + 11772187.

Almost surely, 2^10041312133 is an apocalyptic number.

It is an amenable number.

10041312133 is a deficient number, since it is larger than the sum of its proper divisors (372851501).

10041312133 is an frugal number, since it uses more digits than its factorization.

10041312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10041312133 its reverse (33121314001), we get a palindrome (43162626134).

The spelling of 10041312133 in words is "ten billion, forty-one million, three hundred twelve thousand, one hundred thirty-three".