313113310201 has 2 divisors, whose sum is σ = 313113310202. Its totient is φ = 313113310200.

The previous prime is 313113310177. The next prime is 313113310229. The reversal of 313113310201 is 102013311313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301509711801 + 11603598400 = 549099^2 + 107720^2 .

It is an emirp because it is prime and its reverse (102013311313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313113310201 - 2⁹ = 313113309689 is a prime.

It is not a weakly prime, because it can be changed into another prime (313113310261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156556655100 + 156556655101.

It is an arithmetic number, because the mean of its divisors is an integer number (156556655101).

Almost surely, 2^313113310201 is an apocalyptic number.

It is an amenable number.

313113310201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313113310201 is an equidigital number, since it uses as much as digits as its factorization.

313113310201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 313113310201 its reverse (102013311313), we get a palindrome (415126621514).

The spelling of 313113310201 in words is "three hundred thirteen billion, one hundred thirteen million, three hundred ten thousand, two hundred one".