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133011020112097 is a prime number
BaseRepresentation
bin11110001111100100001010…
…100110101110000011100001
3122102221201200200120021001211
4132033210022212232003201
5114413223032122041342
61150520230304430121
740005505034315341
oct3617441246560341
9572851620507054
10133011020112097
1139421725299266
1212b02515618341
13592ab68231b7a
1424bbaa68bcd21
151059dc6500c17
hex78f90a9ae0e1

133011020112097 has 2 divisors, whose sum is σ = 133011020112098. Its totient is φ = 133011020112096.

The previous prime is 133011020112077. The next prime is 133011020112109. The reversal of 133011020112097 is 790211020110331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93387406928656 + 39623613183441 = 9663716^2 + 6294729^2 .

It is an emirp because it is prime and its reverse (790211020110331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133011020112097 - 235 = 132976660373729 is a prime.

It is not a weakly prime, because it can be changed into another prime (133011020112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66505510056048 + 66505510056049.

It is an arithmetic number, because the mean of its divisors is an integer number (66505510056049).

Almost surely, 2133011020112097 is an apocalyptic number.

It is an amenable number.

133011020112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133011020112097 is an equidigital number, since it uses as much as digits as its factorization.

133011020112097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 133011020112097 in words is "one hundred thirty-three trillion, eleven billion, twenty million, one hundred twelve thousand, ninety-seven".