33121133112133 has 16 divisors (see below), whose sum is σ = 36894457368576. Its totient is φ = 29480882307840.

The previous prime is 33121133112131. The next prime is 33121133112143.

It is a happy number.

33121133112133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33121133112133 - 2¹ = 33121133112131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121133112131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150425541 + ... + 150645562.

It is an arithmetic number, because the mean of its divisors is an integer number (2305903585536).

Almost surely, 2^{33121133112133} is an apocalyptic number.

It is an amenable number.

33121133112133 is a deficient number, since it is larger than the sum of its proper divisors (3773324256443).

33121133112133 is a wasteful number, since it uses less digits than its factorization.

33121133112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301071324.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 3312113 and 3112133, that added together give a palindrome (6424246).

The spelling of 33121133112133 in words is "thirty-three trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, one hundred thirty-three".