13022111312101 has 2 divisors, whose sum is σ = 13022111312102. Its totient is φ = 13022111312100.

The previous prime is 13022111312081. The next prime is 13022111312129. The reversal of 13022111312101 is 10121311122031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7527072089601 + 5495039222500 = 2743551^2 + 2344150^2 .

It is an emirp because it is prime and its reverse (10121311122031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13022111312101 - 2⁹ = 13022111311589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13022111312401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511055656050 + 6511055656051.

It is an arithmetic number, because the mean of its divisors is an integer number (6511055656051).

Almost surely, 2^{13022111312101} is an apocalyptic number.

It is an amenable number.

13022111312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022111312101 is an equidigital number, since it uses as much as digits as its factorization.

13022111312101 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 13022111312101 its reverse (10121311122031), we get a palindrome (23143422434132).

The spelling of 13022111312101 in words is "thirteen trillion, twenty-two billion, one hundred eleven million, three hundred twelve thousand, one hundred one".