312343233121133 has 2 divisors, whose sum is σ = 312343233121134. Its totient is φ = 312343233121132.

The previous prime is 312343233121043. The next prime is 312343233121147. The reversal of 312343233121133 is 331121332343213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310791619094089 + 1551614027044 = 17629283^2 + 1245638^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343233121133 - 2¹⁰ = 312343233120109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312343233121093 and 312343233121102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312343233121163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156171616560566 + 156171616560567.

It is an arithmetic number, because the mean of its divisors is an integer number (156171616560567).

Almost surely, 2^{312343233121133} is an apocalyptic number.

It is an amenable number.

312343233121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312343233121133 is an equidigital number, since it uses as much as digits as its factorization.

312343233121133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69984, while the sum is 35.

Adding to 312343233121133 its reverse (331121332343213), we get a palindrome (643464565464346).

The spelling of 312343233121133 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-three".