114032002133 has 24 divisors (see below), whose sum is σ = 135244585368. Its totient is φ = 95845026816.

The previous prime is 114032002109. The next prime is 114032002159. The reversal of 114032002133 is 331200230411.

It can be written as a sum of positive squares in 4 ways, for example, as 78906495409 + 35125506724 = 280903^2 + 187418^2 .

It is not a de Polignac number, because 114032002133 - 2²⁰ = 114030953557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032002033) 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 23 ways as a sum of consecutive naturals, for example, 526685 + ... + 710957.

It is an arithmetic number, because the mean of its divisors is an integer number (5635191057).

Almost surely, 2^114032002133 is an apocalyptic number.

It is an amenable number.

114032002133 is a deficient number, since it is larger than the sum of its proper divisors (21212583235).

114032002133 is a wasteful number, since it uses less digits than its factorization.

114032002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184533 (or 184526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 114032002133 its reverse (331200230411), we get a palindrome (445232232544).

The spelling of 114032002133 in words is "one hundred fourteen billion, thirty-two million, two thousand, one hundred thirty-three".