12311121310133 has 2 divisors, whose sum is σ = 12311121310134. Its totient is φ = 12311121310132.

The previous prime is 12311121310087. The next prime is 12311121310277. The reversal of 12311121310133 is 33101312111321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9648242370244 + 2662878939889 = 3106162^2 + 1631833^2 .

It is a cyclic number.

It is not a de Polignac number, because 12311121310133 - 2²⁴ = 12311104532917 is a prime.

It is a super-4 number, since 4×12311121310133⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12311121310099 and 12311121310108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12311171310133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155560655066 + 6155560655067.

It is an arithmetic number, because the mean of its divisors is an integer number (6155560655067).

Almost surely, 2^{12311121310133} is an apocalyptic number.

It is an amenable number.

12311121310133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12311121310133 is an equidigital number, since it uses as much as digits as its factorization.

12311121310133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 12311121310133 its reverse (33101312111321), we get a palindrome (45412433421454).

The spelling of 12311121310133 in words is "twelve trillion, three hundred eleven billion, one hundred twenty-one million, three hundred ten thousand, one hundred thirty-three".