33021122112133 has 16 divisors (see below), whose sum is σ = 34171973953200. Its totient is φ = 31871085281280.

The previous prime is 33021122112113. The next prime is 33021122112149. The reversal of 33021122112133 is 33121122112033.

It can be written as a sum of positive squares in 8 ways, for example, as 326307140289 + 32694814971844 = 571233^2 + 5717938^2 .

It is a cyclic number.

It is not a de Polignac number, because 33021122112133 - 2²⁹ = 33020585241221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33021122112098 and 33021122112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33021122112113) 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 15 ways as a sum of consecutive naturals, for example, 1379950513 + ... + 1379974441.

It is an arithmetic number, because the mean of its divisors is an integer number (2135748372075).

Almost surely, 2^{33021122112133} is an apocalyptic number.

It is an amenable number.

33021122112133 is a deficient number, since it is larger than the sum of its proper divisors (1150851841067).

33021122112133 is a wasteful number, since it uses less digits than its factorization.

33021122112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38952.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 33021122112133 its reverse (33121122112033), we get a palindrome (66142244224166).

The spelling of 33021122112133 in words is "thirty-three trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred thirty-three".