313201313 has 2 divisors, whose sum is σ = 313201314. Its totient is φ = 313201312.

The previous prime is 313201307. The next prime is 313201351. The reversal of 313201313 is 313102313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206554384 + 106646929 = 14372^2 + 10327^2 .

It is a cyclic number.

It is not a de Polignac number, because 313201313 - 2⁶ = 313201249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313201291 and 313201300.

It is not a weakly prime, because it can be changed into another prime (313201393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156600656 + 156600657.

It is an arithmetic number, because the mean of its divisors is an integer number (156600657).

Almost surely, 2^313201313 is an apocalyptic number.

It is an amenable number.

313201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313201313 is an equidigital number, since it uses as much as digits as its factorization.

313201313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 313201313 is about 17697.4945401885. The cubic root of 313201313 is about 679.1116665679. Note that the first 3 decimals are identical.

Adding to 313201313 its reverse (313102313), we get a palindrome (626303626).

The spelling of 313201313 in words is "three hundred thirteen million, two hundred one thousand, three hundred thirteen".