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12042131301133 is a prime number
BaseRepresentation
bin1010111100111100011011…
…1101010110001100001101
31120122012211211112221210221
42233033012331112030031
53034244241103114013
641340025002031341
72352005145115153
oct257170675261415
946565754487727
1012042131301133
1139230481aaa3a
121425a194a8551
1369475019c27b
142d8bb12633d3
1515d39baa408d
hexaf3c6f5630d

12042131301133 has 2 divisors, whose sum is σ = 12042131301134. Its totient is φ = 12042131301132.

The previous prime is 12042131301131. The next prime is 12042131301253. The reversal of 12042131301133 is 33110313124021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6151282911684 + 5890848389449 = 2480178^2 + 2427107^2 .

It is a cyclic number.

It is not a de Polignac number, because 12042131301133 - 21 = 12042131301131 is a prime.

Together with 12042131301131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12042131301098 and 12042131301107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12042131301131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6021065650566 + 6021065650567.

It is an arithmetic number, because the mean of its divisors is an integer number (6021065650567).

Almost surely, 212042131301133 is an apocalyptic number.

It is an amenable number.

12042131301133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12042131301133 is an equidigital number, since it uses as much as digits as its factorization.

12042131301133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12042131301133 its reverse (33110313124021), we get a palindrome (45152444425154).

The spelling of 12042131301133 in words is "twelve trillion, forty-two billion, one hundred thirty-one million, three hundred one thousand, one hundred thirty-three".