33120133101 has 48 divisors (see below), whose sum is σ = 55617269760. Its totient is φ = 18791504160.

The previous prime is 33120133097. The next prime is 33120133127. The reversal of 33120133101 is 10133102133.

It is a happy number.

33120133101 is a `hidden beast` number, since 331 + 2 + 0 + 1 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 33120133101 - 2² = 33120133097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120133181) 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 47 ways as a sum of consecutive naturals, for example, 47721 + ... + 261758.

It is an arithmetic number, because the mean of its divisors is an integer number (1158693120).

Almost surely, 2^33120133101 is an apocalyptic number.

It is an amenable number.

33120133101 is a deficient number, since it is larger than the sum of its proper divisors (22497136659).

33120133101 is a wasteful number, since it uses less digits than its factorization.

33120133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309566 (or 309563 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33120133101 its reverse (10133102133), we get a palindrome (43253235234).

The spelling of 33120133101 in words is "thirty-three billion, one hundred twenty million, one hundred thirty-three thousand, one hundred one".