313302220117 has 2 divisors, whose sum is σ = 313302220118. Its totient is φ = 313302220116.

The previous prime is 313302220039. The next prime is 313302220169. The reversal of 313302220117 is 711022203313.

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., 294761040561 + 18541179556 = 542919^2 + 136166^2 .

It is a cyclic number.

It is not a de Polignac number, because 313302220117 - 2³⁵ = 278942481749 is a prime.

It is a super-2 number, since 2×313302220117² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313302220091 and 313302220100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313302220417) 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, 156651110058 + 156651110059.

It is an arithmetic number, because the mean of its divisors is an integer number (156651110059).

Almost surely, 2^313302220117 is an apocalyptic number.

It is an amenable number.

313302220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

313302220117 is an equidigital number, since it uses as much as digits as its factorization.

313302220117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 313302220117 in words is "three hundred thirteen billion, three hundred two million, two hundred twenty thousand, one hundred seventeen".