313033313213 has 2 divisors, whose sum is σ = 313033313214. Its totient is φ = 313033313212.

The previous prime is 313033313189. The next prime is 313033313227. The reversal of 313033313213 is 312313330313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254779629049 + 58253684164 = 504757^2 + 241358^2 .

It is a cyclic number.

It is not a de Polignac number, because 313033313213 - 2⁸ = 313033312957 is a prime.

It is a super-2 number, since 2×313033313213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313033313233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156516656606 + 156516656607.

It is an arithmetic number, because the mean of its divisors is an integer number (156516656607).

Almost surely, 2^313033313213 is an apocalyptic number.

It is an amenable number.

313033313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313033313213 is an equidigital number, since it uses as much as digits as its factorization.

313033313213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 313033313213 its reverse (312313330313), we get a palindrome (625346643526).

The spelling of 313033313213 in words is "three hundred thirteen billion, thirty-three million, three hundred thirteen thousand, two hundred thirteen".