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11331130133129 is a prime number
BaseRepresentation
bin1010010011100011101111…
…1111001000101010001001
31111010020121221102022122012
42210320323333020222021
52441122123303230004
640033241015305305
72246434652652422
oct244707377105211
944106557368565
1011331130133129
113679561615a64
12133007067b235
136426a07b9181
142b2602c66649
15149b36ccb46e
hexa4e3bfc8a89

11331130133129 has 2 divisors, whose sum is σ = 11331130133130. Its totient is φ = 11331130133128.

The previous prime is 11331130133053. The next prime is 11331130133161. The reversal of 11331130133129 is 92133103113311.

It is an a-pointer prime, because the next prime (11331130133161) can be obtained adding 11331130133129 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11247652477504 + 83477655625 = 3353752^2 + 288925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331130133129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331130133095 and 11331130133104.

It is not a weakly prime, because it can be changed into another prime (11331130132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565066564 + 5665565066565.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565066565).

Almost surely, 211331130133129 is an apocalyptic number.

It is an amenable number.

11331130133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331130133129 is an equidigital number, since it uses as much as digits as its factorization.

11331130133129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 32.

The spelling of 11331130133129 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty-nine".