101113330033361 has 2 divisors, whose sum is σ = 101113330033362. Its totient is φ = 101113330033360.

The previous prime is 101113330033343. The next prime is 101113330033369. The reversal of 101113330033361 is 163330033311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65317818819136 + 35795511214225 = 8081944^2 + 5982935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101113330033361 is a prime.

It is not a weakly prime, because it can be changed into another prime (101113330033369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556665016680 + 50556665016681.

It is an arithmetic number, because the mean of its divisors is an integer number (50556665016681).

Almost surely, 2^{101113330033361} is an apocalyptic number.

It is an amenable number.

101113330033361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113330033361 is an equidigital number, since it uses as much as digits as its factorization.

101113330033361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 101113330033361 its reverse (163330033311101), we get a palindrome (264443363344462).

The spelling of 101113330033361 in words is "one hundred one trillion, one hundred thirteen billion, three hundred thirty million, thirty-three thousand, three hundred sixty-one".