313122122012333 has 2 divisors, whose sum is σ = 313122122012334. Its totient is φ = 313122122012332.

The previous prime is 313122122012317. The next prime is 313122122012387. The reversal of 313122122012333 is 333210221221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198690365403049 + 114431756609284 = 14095757^2 + 10697278^2 .

It is an emirp because it is prime and its reverse (333210221221313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313122122012333 - 2⁴ = 313122122012317 is a prime.

It is a super-2 number, since 2×313122122012333² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313122122012296 and 313122122012305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313122122017333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561061006166 + 156561061006167.

It is an arithmetic number, because the mean of its divisors is an integer number (156561061006167).

Almost surely, 2^{313122122012333} is an apocalyptic number.

It is an amenable number.

313122122012333 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122122012333 is an equidigital number, since it uses as much as digits as its factorization.

313122122012333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 313122122012333 its reverse (333210221221313), we get a palindrome (646332343233646).

The spelling of 313122122012333 in words is "three hundred thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, three hundred thirty-three".