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133033112353 is a prime number
BaseRepresentation
bin111101111100101100…
…1000011001100100001
3110201101022021022120101
41323321121003030201
54134422434043403
6141040425142401
712416453540341
oct1737131031441
9421338238511
10133033112353
11514677a6359
122194862aa01
13c7113b087b
146620250d21
1536d929871d
hex1ef9643321

133033112353 has 2 divisors, whose sum is σ = 133033112354. Its totient is φ = 133033112352.

The previous prime is 133033112309. The next prime is 133033112447. The reversal of 133033112353 is 353211330331.

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., 124476307344 + 8556805009 = 352812^2 + 92503^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033112353 - 217 = 133032981281 is a prime.

It is not a weakly prime, because it can be changed into another prime (133033112053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516556176 + 66516556177.

It is an arithmetic number, because the mean of its divisors is an integer number (66516556177).

Almost surely, 2133033112353 is an apocalyptic number.

It is an amenable number.

133033112353 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033112353 is an equidigital number, since it uses as much as digits as its factorization.

133033112353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 133033112353 its reverse (353211330331), we get a palindrome (486244442684).

The spelling of 133033112353 in words is "one hundred thirty-three billion, thirty-three million, one hundred twelve thousand, three hundred fifty-three".