313034312117 has 2 divisors, whose sum is σ = 313034312118. Its totient is φ = 313034312116.

The previous prime is 313034312099. The next prime is 313034312131. The reversal of 313034312117 is 711213430313.

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., 312032842801 + 1001469316 = 558599^2 + 31646^2 .

It is a cyclic number.

It is not a de Polignac number, because 313034312117 - 2²⁶ = 312967203253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313034312117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313034312177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156517156058 + 156517156059.

It is an arithmetic number, because the mean of its divisors is an integer number (156517156059).

Almost surely, 2^313034312117 is an apocalyptic number.

It is an amenable number.

313034312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

313034312117 is an equidigital number, since it uses as much as digits as its factorization.

313034312117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 313034312117 in words is "three hundred thirteen billion, thirty-four million, three hundred twelve thousand, one hundred seventeen".