311221202120113 has 2 divisors, whose sum is σ = 311221202120114. Its totient is φ = 311221202120112.

The previous prime is 311221202120111. The next prime is 311221202120159. The reversal of 311221202120113 is 311021202122113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274206839692864 + 37014362427249 = 16559192^2 + 6083943^2 .

It is a cyclic number.

It is not a de Polignac number, because 311221202120113 - 2¹ = 311221202120111 is a prime.

It is a super-3 number, since 3×311221202120113³ (a number of 44 digits) contains 333 as substring.

Together with 311221202120111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311221202120111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155610601060056 + 155610601060057.

It is an arithmetic number, because the mean of its divisors is an integer number (155610601060057).

Almost surely, 2^{311221202120113} is an apocalyptic number.

It is an amenable number.

311221202120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

311221202120113 is an equidigital number, since it uses as much as digits as its factorization.

311221202120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 311221202120113 its reverse (311021202122113), we get a palindrome (622242404242226).

The spelling of 311221202120113 in words is "three hundred eleven trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty thousand, one hundred thirteen".