1311101011117 has 2 divisors, whose sum is σ = 1311101011118. Its totient is φ = 1311101011116.

The previous prime is 1311101011067. The next prime is 1311101011133. The reversal of 1311101011117 is 7111101011131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1083277129636 + 227823881481 = 1040806^2 + 477309^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311101011117 - 2¹¹ = 1311101009069 is a prime.

It is a super-2 number, since 2×1311101011117² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311101011094 and 1311101011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311101011177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655550505558 + 655550505559.

It is an arithmetic number, because the mean of its divisors is an integer number (655550505559).

Almost surely, 2^{1311101011117} is an apocalyptic number.

It is an amenable number.

1311101011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311101011117 is an equidigital number, since it uses as much as digits as its factorization.

1311101011117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 1311101011117 its reverse (7111101011131), we get a palindrome (8422202022248).

The spelling of 1311101011117 in words is "one trillion, three hundred eleven billion, one hundred one million, eleven thousand, one hundred seventeen".