313110222011101 has 2 divisors, whose sum is σ = 313110222011102. Its totient is φ = 313110222011100.

The previous prime is 313110222011099. The next prime is 313110222011129. The reversal of 313110222011101 is 101110222011313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300364600860900 + 12745621150201 = 17331030^2 + 3570101^2 .

It is a cyclic number.

It is not a de Polignac number, because 313110222011101 - 2¹ = 313110222011099 is a prime.

It is a super-2 number, since 2×313110222011101² (a number of 30 digits) contains 22 as substring.

Together with 313110222011099, 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 (313110222014101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156555111005550 + 156555111005551.

It is an arithmetic number, because the mean of its divisors is an integer number (156555111005551).

Almost surely, 2^{313110222011101} is an apocalyptic number.

It is an amenable number.

313110222011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313110222011101 is an equidigital number, since it uses as much as digits as its factorization.

313110222011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 313110222011101 its reverse (101110222011313), we get a palindrome (414220444022414).

The spelling of 313110222011101 in words is "three hundred thirteen trillion, one hundred ten billion, two hundred twenty-two million, eleven thousand, one hundred one".