313333242333337 has 2 divisors, whose sum is σ = 313333242333338. Its totient is φ = 313333242333336.

The previous prime is 313333242333311. The next prime is 313333242333341. The reversal of 313333242333337 is 733333242333313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202925181722761 + 110408060610576 = 14245181^2 + 10507524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313333242333337 is a prime.

It is a super-2 number, since 2×313333242333337² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313333242333367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156666621166668 + 156666621166669.

It is an arithmetic number, because the mean of its divisors is an integer number (156666621166669).

Almost surely, 2^{313333242333337} is an apocalyptic number.

It is an amenable number.

313333242333337 is a deficient number, since it is larger than the sum of its proper divisors (1).

313333242333337 is an equidigital number, since it uses as much as digits as its factorization.

313333242333337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6613488, while the sum is 46.

The spelling of 313333242333337 in words is "three hundred thirteen trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, three hundred thirty-seven".