313131011201 has 2 divisors, whose sum is σ = 313131011202. Its totient is φ = 313131011200.

The previous prime is 313131011189. The next prime is 313131011209. The reversal of 313131011201 is 102110131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268049530225 + 45081480976 = 517735^2 + 212324^2 .

It is an emirp because it is prime and its reverse (102110131313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313131011201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313131011201.

It is not a weakly prime, because it can be changed into another prime (313131011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565505600 + 156565505601.

It is an arithmetic number, because the mean of its divisors is an integer number (156565505601).

Almost surely, 2^313131011201 is an apocalyptic number.

It is an amenable number.

313131011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131011201 is an equidigital number, since it uses as much as digits as its factorization.

313131011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 313131011201 its reverse (102110131313), we get a palindrome (415241142514).

The spelling of 313131011201 in words is "three hundred thirteen billion, one hundred thirty-one million, eleven thousand, two hundred one".