312322302133 has 2 divisors, whose sum is σ = 312322302134. Its totient is φ = 312322302132.

The previous prime is 312322302113. The next prime is 312322302139. The reversal of 312322302133 is 331203223213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285581222404 + 26741079729 = 534398^2 + 163527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312322302133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312322302098 and 312322302107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312322302139) 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, 156161151066 + 156161151067.

It is an arithmetic number, because the mean of its divisors is an integer number (156161151067).

Almost surely, 2^312322302133 is an apocalyptic number.

It is an amenable number.

312322302133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312322302133 is an equidigital number, since it uses as much as digits as its factorization.

312322302133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 312322302133 its reverse (331203223213), we get a palindrome (643525525346).

The spelling of 312322302133 in words is "three hundred twelve billion, three hundred twenty-two million, three hundred two thousand, one hundred thirty-three".