33121333312133 has 32 divisors (see below), whose sum is σ = 37648801542144. Its totient is φ = 29105970894000.

The previous prime is 33121333312117. The next prime is 33121333312169.

33121333312133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33121333312133 - 2⁴ = 33121333312117 is a prime.

It is a super-2 number, since 2×33121333312133² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33121333312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121333312033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35978918 + ... + 36888008.

It is an arithmetic number, because the mean of its divisors is an integer number (1176525048192).

Almost surely, 2^{33121333312133} is an apocalyptic number.

It is an amenable number.

33121333312133 is a deficient number, since it is larger than the sum of its proper divisors (4527468230011).

33121333312133 is an equidigital number, since it uses as much as digits as its factorization.

33121333312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910038 (or 910016 counting only the distinct ones).

The product of its digits is 26244, while the sum is 32.

It can be divided in two parts, 3312133 and 3312133, that added together give a palindrome (6624266).

The spelling of 33121333312133 in words is "thirty-three trillion, one hundred twenty-one billion, three hundred thirty-three million, three hundred twelve thousand, one hundred thirty-three".