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11131210313329 is a prime number
BaseRepresentation
bin1010000111111010111111…
…0101100010111001110001
31110102010121012000012200211
42201332233311202321301
52424333204320011304
635401335111544121
72226126524352061
oct241765765427161
943363535005624
1011131210313329
1136017a1039397
1212b937798b041
1362988cc91402
142a6a796973a1
151448358e4204
hexa1fafd62e71

11131210313329 has 2 divisors, whose sum is σ = 11131210313330. Its totient is φ = 11131210313328.

The previous prime is 11131210313273. The next prime is 11131210313347. The reversal of 11131210313329 is 92331301213111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9283282735104 + 1847927578225 = 3046848^2 + 1359385^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131210313329 - 223 = 11131201924721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11131210313329.

It is not a weakly prime, because it can be changed into another prime (11131210313129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565605156664 + 5565605156665.

It is an arithmetic number, because the mean of its divisors is an integer number (5565605156665).

Almost surely, 211131210313329 is an apocalyptic number.

It is an amenable number.

11131210313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131210313329 is an equidigital number, since it uses as much as digits as its factorization.

11131210313329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 11131210313329 in words is "eleven trillion, one hundred thirty-one billion, two hundred ten million, three hundred thirteen thousand, three hundred twenty-nine".