240533242112133 has 12 divisors (see below), whose sum is σ = 349972941079788. Its totient is φ = 159185016676800.

The previous prime is 240533242112077. The next prime is 240533242112153. The reversal of 240533242112133 is 331211242335042.

240533242112133 is a `hidden beast` number, since 2 + 4 + 0 + 53 + 32 + 421 + 121 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104094536344929 + 136438705767204 = 10202673^2 + 11680698^2 .

It is not a de Polignac number, because 240533242112133 - 2²⁴ = 240533225334917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240533242112153) 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 11 ways as a sum of consecutive naturals, for example, 97539837418 + ... + 97539839883.

It is an arithmetic number, because the mean of its divisors is an integer number (29164411756649).

Almost surely, 2^{240533242112133} is an apocalyptic number.

It is an amenable number.

240533242112133 is a deficient number, since it is larger than the sum of its proper divisors (109439698967655).

240533242112133 is a wasteful number, since it uses less digits than its factorization.

240533242112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195079677444 (or 195079677441 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 240533242112133 its reverse (331211242335042), we get a palindrome (571744484447175).

The spelling of 240533242112133 in words is "two hundred forty trillion, five hundred thirty-three billion, two hundred forty-two million, one hundred twelve thousand, one hundred thirty-three".