311321313312101 has 2 divisors, whose sum is σ = 311321313312102. Its totient is φ = 311321313312100.

The previous prime is 311321313312083. The next prime is 311321313312161. The reversal of 311321313312101 is 101213313123113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186419454909601 + 124901858402500 = 13653551^2 + 11175950^2 .

It is a cyclic number.

It is not a de Polignac number, because 311321313312101 - 2³⁸ = 311046435405157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311321313312161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155660656656050 + 155660656656051.

It is an arithmetic number, because the mean of its divisors is an integer number (155660656656051).

Almost surely, 2^{311321313312101} is an apocalyptic number.

It is an amenable number.

311321313312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311321313312101 is an equidigital number, since it uses as much as digits as its factorization.

311321313312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 311321313312101 its reverse (101213313123113), we get a palindrome (412534626435214).

The spelling of 311321313312101 in words is "three hundred eleven trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twelve thousand, one hundred one".