313120233201313 has 2 divisors, whose sum is σ = 313120233201314. Its totient is φ = 313120233201312.

The previous prime is 313120233201299. The next prime is 313120233201319. The reversal of 313120233201313 is 313102332021313.

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., 166015184857344 + 147105048343969 = 12884688^2 + 12128687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313120233201313 is a prime.

It is not a weakly prime, because it can be changed into another prime (313120233201319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560116600656 + 156560116600657.

It is an arithmetic number, because the mean of its divisors is an integer number (156560116600657).

Almost surely, 2^{313120233201313} is an apocalyptic number.

It is an amenable number.

313120233201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313120233201313 is an equidigital number, since it uses as much as digits as its factorization.

313120233201313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 313120233201313 its reverse (313102332021313), we get a palindrome (626222565222626).

The spelling of 313120233201313 in words is "three hundred thirteen trillion, one hundred twenty billion, two hundred thirty-three million, two hundred one thousand, three hundred thirteen".