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133033003331 is a prime number
BaseRepresentation
bin111101111100101100…
…0101000100101000011
3110201101022001210000112
41323321120220211003
54134422422101311
6141040422541535
712416452604444
oct1737130504503
9421338053015
10133033003331
1151467731458
12219485978ab
13c711373067
1466202232cb
1536d927628b
hex1ef9628943

133033003331 has 2 divisors, whose sum is σ = 133033003332. Its totient is φ = 133033003330.

The previous prime is 133033003303. The next prime is 133033003373. The reversal of 133033003331 is 133300330331.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 133033003331 - 210 = 133033002307 is a prime.

It is a super-2 number, since 2×1330330033312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 133033003297 and 133033003306.

It is not a weakly prime, because it can be changed into another prime (133033003391) 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, 66516501665 + 66516501666.

It is an arithmetic number, because the mean of its divisors is an integer number (66516501666).

Almost surely, 2133033003331 is an apocalyptic number.

133033003331 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033003331 is an equidigital number, since it uses as much as digits as its factorization.

133033003331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 133033003331 its reverse (133300330331), we get a palindrome (266333333662).

The spelling of 133033003331 in words is "one hundred thirty-three billion, thirty-three million, three thousand, three hundred thirty-one".