312223335133 has 2 divisors, whose sum is σ = 312223335134. Its totient is φ = 312223335132.

The previous prime is 312223335131. The next prime is 312223335143. The reversal of 312223335133 is 331533322213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269613293049 + 42610042084 = 519243^2 + 206422^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223335133 - 2¹ = 312223335131 is a prime.

It is a super-2 number, since 2×312223335133² (a number of 24 digits) contains 22 as substring.

Together with 312223335131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312223335095 and 312223335104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312223335131) 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, 156111667566 + 156111667567.

It is an arithmetic number, because the mean of its divisors is an integer number (156111667567).

Almost surely, 2^312223335133 is an apocalyptic number.

It is an amenable number.

312223335133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223335133 is an equidigital number, since it uses as much as digits as its factorization.

312223335133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 31.

Adding to 312223335133 its reverse (331533322213), we get a palindrome (643756657346).

The spelling of 312223335133 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred thirty-five thousand, one hundred thirty-three".