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133300000213 is a prime number
BaseRepresentation
bin111110000100101001…
…1001001010111010101
3110202001220110121212221
41330021103021113111
54140444300001323
6141123121342341
712426204210142
oct1741123112725
9422056417787
10133300000213
1151594414136
1221a01a979b1
13c754786c93
1466478853c9
15370291655d
hex1f094c95d5

133300000213 has 2 divisors, whose sum is σ = 133300000214. Its totient is φ = 133300000212.

The previous prime is 133300000189. The next prime is 133300000241. The reversal of 133300000213 is 312000003331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68184698884 + 65115301329 = 261122^2 + 255177^2 .

It is a cyclic number.

It is not a de Polignac number, because 133300000213 - 25 = 133300000181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133300004213) 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, 66650000106 + 66650000107.

It is an arithmetic number, because the mean of its divisors is an integer number (66650000107).

Almost surely, 2133300000213 is an apocalyptic number.

It is an amenable number.

133300000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300000213 is an equidigital number, since it uses as much as digits as its factorization.

133300000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 133300000213 its reverse (312000003331), we get a palindrome (445300003544).

The spelling of 133300000213 in words is "one hundred thirty-three billion, three hundred million, two hundred thirteen", and thus it is an aban number.