1311022113101 has 2 divisors, whose sum is σ = 1311022113102. Its totient is φ = 1311022113100.

The previous prime is 1311022113067. The next prime is 1311022113133. The reversal of 1311022113101 is 1013112201131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1246853623876 + 64168489225 = 1116626^2 + 253315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1311022113101 is a prime.

It is a super-2 number, since 2×1311022113101² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1311022113101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311022113601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655511056550 + 655511056551.

It is an arithmetic number, because the mean of its divisors is an integer number (655511056551).

Almost surely, 2^{1311022113101} is an apocalyptic number.

It is an amenable number.

1311022113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311022113101 is an equidigital number, since it uses as much as digits as its factorization.

1311022113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1311022113101 its reverse (1013112201131), we get a palindrome (2324134314232).

The spelling of 1311022113101 in words is "one trillion, three hundred eleven billion, twenty-two million, one hundred thirteen thousand, one hundred one".