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131302333333289 is a prime number
BaseRepresentation
bin11101110110101100110100…
…111011111011111100101001
3122012220101021100221100112102
4131312230310323323330221
5114202224134313131124
61143131243105023145
736441165136325126
oct3566546473737451
9565811240840472
10131302333333289
1138923009138238
1212887331924ab5
1358359abbc59c1
14245d0d15b174d
15102a71d276aae
hex776b34efbf29

131302333333289 has 2 divisors, whose sum is σ = 131302333333290. Its totient is φ = 131302333333288.

The previous prime is 131302333333207. The next prime is 131302333333309. The reversal of 131302333333289 is 982333333203131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128943292302400 + 2359041030889 = 11355320^2 + 1535917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131302333333289 is a prime.

It is a super-2 number, since 2×1313023333332892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131302333333889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651166666644 + 65651166666645.

It is an arithmetic number, because the mean of its divisors is an integer number (65651166666645).

Almost surely, 2131302333333289 is an apocalyptic number.

It is an amenable number.

131302333333289 is a deficient number, since it is larger than the sum of its proper divisors (1).

131302333333289 is an equidigital number, since it uses as much as digits as its factorization.

131302333333289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1889568, while the sum is 47.

The spelling of 131302333333289 in words is "one hundred thirty-one trillion, three hundred two billion, three hundred thirty-three million, three hundred thirty-three thousand, two hundred eighty-nine".