10112132133 has 12 divisors (see below), whose sum is σ = 14612079820. Its totient is φ = 6738806016.

The previous prime is 10112132113. The next prime is 10112132159. The reversal of 10112132133 is 33123121101.

10112132133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4511405889 + 5600726244 = 67167^2 + 74838^2 .

It is not a de Polignac number, because 10112132133 - 2⁸ = 10112131877 is a prime.

It is a super-2 number, since 2×10112132133² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193318 + ... + 239991.

Almost surely, 2^10112132133 is an apocalyptic number.

It is an amenable number.

10112132133 is a deficient number, since it is larger than the sum of its proper divisors (4499947687).

10112132133 is a wasteful number, since it uses less digits than its factorization.

10112132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435908 (or 435905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112132133 its reverse (33123121101), we get a palindrome (43235253234).

The spelling of 10112132133 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".