33142132001133 has 12 divisors (see below), whose sum is σ = 47884813133248. Its totient is φ = 22088826350280.

The previous prime is 33142132001051. The next prime is 33142132001177. The reversal of 33142132001133 is 33110023124133.

33142132001133 is a `hidden beast` number, since 3 + 3 + 1 + 421 + 3 + 200 + 1 + 1 + 33 = 666.

It is not a de Polignac number, because 33142132001133 - 2¹⁴ = 33142131984749 is a prime.

It is a super-2 number, since 2×33142132001133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33142132001097 and 33142132001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142132001633) 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, 493991023 + ... + 494058108.

Almost surely, 2^{33142132001133} is an apocalyptic number.

It is an amenable number.

33142132001133 is a deficient number, since it is larger than the sum of its proper divisors (14742681132115).

33142132001133 is a wasteful number, since it uses less digits than its factorization.

33142132001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988052864 (or 988052861 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33142132001133 its reverse (33110023124133), we get a palindrome (66252155125266).

The spelling of 33142132001133 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-two million, one thousand, one hundred thirty-three".