313011312181 has 2 divisors, whose sum is σ = 313011312182. Its totient is φ = 313011312180.

The previous prime is 313011312179. The next prime is 313011312199. The reversal of 313011312181 is 181213110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295926208081 + 17085104100 = 543991^2 + 130710^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011312181 - 2¹ = 313011312179 is a prime.

It is a super-2 number, since 2×313011312181² (a number of 24 digits) contains 22 as substring.

Together with 313011312179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313011312151) 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, 156505656090 + 156505656091.

It is an arithmetic number, because the mean of its divisors is an integer number (156505656091).

Almost surely, 2^313011312181 is an apocalyptic number.

It is an amenable number.

313011312181 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011312181 is an equidigital number, since it uses as much as digits as its factorization.

313011312181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 313011312181 its reverse (181213110313), we get a palindrome (494224422494).

The spelling of 313011312181 in words is "three hundred thirteen billion, eleven million, three hundred twelve thousand, one hundred eighty-one".