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12001312223113 is a prime number
BaseRepresentation
bin1010111010100100010111…
…1100111010111110001001
31120111022111002020221111111
42232221011330322332021
53033112141412114423
641305154323330321
72346031463511613
oct256510574727611
946438432227444
1012001312223113
113907800970514
121419b272209a1
13690946517275
142d6c1bda1db3
1515c2ad22760d
hexaea45f3af89

12001312223113 has 2 divisors, whose sum is σ = 12001312223114. Its totient is φ = 12001312223112.

The previous prime is 12001312223107. The next prime is 12001312223123. The reversal of 12001312223113 is 31132221310021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9708789187449 + 2292523035664 = 3115893^2 + 1514108^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001312223113 - 237 = 11863873269641 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001312223123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000656111556 + 6000656111557.

It is an arithmetic number, because the mean of its divisors is an integer number (6000656111557).

Almost surely, 212001312223113 is an apocalyptic number.

It is an amenable number.

12001312223113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001312223113 is an equidigital number, since it uses as much as digits as its factorization.

12001312223113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12001312223113 its reverse (31132221310021), we get a palindrome (43133533533134).

The spelling of 12001312223113 in words is "twelve trillion, one billion, three hundred twelve million, two hundred twenty-three thousand, one hundred thirteen".