202334042133 has 12 divisors (see below), whose sum is σ = 292267531660. Its totient is φ = 134886015936.

The previous prime is 202334042123. The next prime is 202334042179. The reversal of 202334042133 is 331240433202.

202334042133 is a `hidden beast` number, since 2 + 0 + 233 + 4 + 0 + 421 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135605853009 + 66728189124 = 368247^2 + 258318^2 .

It is not a de Polignac number, because 202334042133 - 2¹⁷ = 202333911061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202334042097 and 202334042106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202334042123) 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, 136863 + ... + 650691.

Almost surely, 2^202334042133 is an apocalyptic number.

It is an amenable number.

202334042133 is a deficient number, since it is larger than the sum of its proper divisors (89933489527).

202334042133 is a wasteful number, since it uses less digits than its factorization.

202334042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557588 (or 557585 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 202334042133 its reverse (331240433202), we get a palindrome (533574475335).

The spelling of 202334042133 in words is "two hundred two billion, three hundred thirty-four million, forty-two thousand, one hundred thirty-three".