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101113330033 is a prime number
BaseRepresentation
bin101111000101011010…
…0101111100101110001
3100122222202120100221101
41132022310233211301
53124040003030113
6114241213324401
710206453060442
oct1361264574561
9318882510841
10101113330033
1139977925471
121771a796701
1396c5379901
144c72c6d2c9
15296bd552dd
hex178ad2f971

101113330033 has 2 divisors, whose sum is σ = 101113330034. Its totient is φ = 101113330032.

The previous prime is 101113330027. The next prime is 101113330057. The reversal of 101113330033 is 330033311101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101103013089 + 10316944 = 317967^2 + 3212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101113330033 is a prime.

It is not a weakly prime, because it can be changed into another prime (101113330063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556665016 + 50556665017.

It is an arithmetic number, because the mean of its divisors is an integer number (50556665017).

Almost surely, 2101113330033 is an apocalyptic number.

It is an amenable number.

101113330033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113330033 is an equidigital number, since it uses as much as digits as its factorization.

101113330033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 101113330033 its reverse (330033311101), we get a palindrome (431146641134).

The spelling of 101113330033 in words is "one hundred one billion, one hundred thirteen million, three hundred thirty thousand, thirty-three".