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133314333221 is a prime number
BaseRepresentation
bin111110000101000100…
…1110100101000100101
3110202002220102211002002
41330022021310220211
54141011432130341
6141124352455045
712426440064266
oct1741211645045
9422086384062
10133314333221
11515a15137a3
1221a0684a485
13c757734b54
14664973696d
153703ce829b
hex1f0a274a25

133314333221 has 2 divisors, whose sum is σ = 133314333222. Its totient is φ = 133314333220.

The previous prime is 133314333209. The next prime is 133314333241. The reversal of 133314333221 is 122333413331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130396821025 + 2917512196 = 361105^2 + 54014^2 .

It is a cyclic number.

It is not a de Polignac number, because 133314333221 - 222 = 133310138917 is a prime.

It is a super-2 number, since 2×1333143332212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133314333241) 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, 66657166610 + 66657166611.

It is an arithmetic number, because the mean of its divisors is an integer number (66657166611).

Almost surely, 2133314333221 is an apocalyptic number.

It is an amenable number.

133314333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

133314333221 is an equidigital number, since it uses as much as digits as its factorization.

133314333221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 29.

Adding to 133314333221 its reverse (122333413331), we get a palindrome (255647746552).

The spelling of 133314333221 in words is "one hundred thirty-three billion, three hundred fourteen million, three hundred thirty-three thousand, two hundred twenty-one".