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12013000302313 is a prime number
BaseRepresentation
bin1010111011001111111010…
…0111011001111011101001
31120112102122122102212221201
42232303332213121323221
53033310111034133223
641314410211404201
72346624226526353
oct256637647317351
946472578385851
1012013000302313
1139117595463aa
1214202495b3661
13691a89b6906a
142d760a3c60d3
1515c7443d1ead
hexaecfe9d9ee9

12013000302313 has 2 divisors, whose sum is σ = 12013000302314. Its totient is φ = 12013000302312.

The previous prime is 12013000302301. The next prime is 12013000302361. The reversal of 12013000302313 is 31320300031021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11992424408064 + 20575894249 = 3463008^2 + 143443^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013000302313 - 237 = 11875561348841 is a prime.

It is not a weakly prime, because it can be changed into another prime (12013000306313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006500151156 + 6006500151157.

It is an arithmetic number, because the mean of its divisors is an integer number (6006500151157).

Almost surely, 212013000302313 is an apocalyptic number.

It is an amenable number.

12013000302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12013000302313 is an equidigital number, since it uses as much as digits as its factorization.

12013000302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12013000302313 its reverse (31320300031021), we get a palindrome (43333300333334).

The spelling of 12013000302313 in words is "twelve trillion, thirteen billion, three hundred two thousand, three hundred thirteen".