3121312133233 has 6 divisors (see below), whose sum is σ = 3630914114226. Its totient is φ = 2675410399872.

The previous prime is 3121312133189. The next prime is 3121312133237. The reversal of 3121312133233 is 3323312131213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2643040302049 + 478271831184 = 1625743^2 + 691572^2 .

It is not a de Polignac number, because 3121312133233 - 2²⁵ = 3121278578801 is a prime.

It is a super-2 number, since 2×3121312133233² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3121312133237) 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 5 ways as a sum of consecutive naturals, for example, 31850123760 + ... + 31850123857.

It is an arithmetic number, because the mean of its divisors is an integer number (605152352371).

Almost surely, 2^{3121312133233} is an apocalyptic number.

It is an amenable number.

3121312133233 is a deficient number, since it is larger than the sum of its proper divisors (509601980993).

3121312133233 is an equidigital number, since it uses as much as digits as its factorization.

3121312133233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63700247631 (or 63700247624 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

Adding to 3121312133233 its reverse (3323312131213), we get a palindrome (6444624264446).

The spelling of 3121312133233 in words is "three trillion, one hundred twenty-one billion, three hundred twelve million, one hundred thirty-three thousand, two hundred thirty-three".