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1021133332033 is a prime number
BaseRepresentation
bin11101101110000000100…
…10100001111001000001
310121121201112111221000021
432313000102201321001
5113212240113111113
62101034023053441
7133526431052653
oct16670022417101
93547645457007
101021133332033
11364073166061
12145a9b5a1281
13753a56c4939
14375cd0666d3
151b866c4e48d
hexedc04a1e41

1021133332033 has 2 divisors, whose sum is σ = 1021133332034. Its totient is φ = 1021133332032.

The previous prime is 1021133331997. The next prime is 1021133332057. The reversal of 1021133332033 is 3302333311201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992876730624 + 28256601409 = 996432^2 + 168097^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021133332033 - 213 = 1021133323841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021133331989 and 1021133332007.

It is not a weakly prime, because it can be changed into another prime (1021133332073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510566666016 + 510566666017.

It is an arithmetic number, because the mean of its divisors is an integer number (510566666017).

Almost surely, 21021133332033 is an apocalyptic number.

It is an amenable number.

1021133332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021133332033 is an equidigital number, since it uses as much as digits as its factorization.

1021133332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1021133332033 its reverse (3302333311201), we get a palindrome (4323466643234).

The spelling of 1021133332033 in words is "one trillion, twenty-one billion, one hundred thirty-three million, three hundred thirty-two thousand, thirty-three".