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12001331202313 is a prime number
BaseRepresentation
bin1010111010100100011100…
…0101010100100100001001
31120111022112101222012001211
42232221013011110210021
53033112211241433223
641305200242213121
72346032114026555
oct256510705244411
946438471865054
1012001331202313
113907810653902
121419b316541a1
1369094a430b6b
142d6c20702865
1515c2aec25d0d
hexaea47154909

12001331202313 has 2 divisors, whose sum is σ = 12001331202314. Its totient is φ = 12001331202312.

The previous prime is 12001331202253. The next prime is 12001331202383. The reversal of 12001331202313 is 31320213310021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10648918039824 + 1352413162489 = 3263268^2 + 1162933^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001331202313 - 213 = 12001331194121 is a prime.

It is a super-2 number, since 2×120013312023132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12001331202383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000665601156 + 6000665601157.

It is an arithmetic number, because the mean of its divisors is an integer number (6000665601157).

Almost surely, 212001331202313 is an apocalyptic number.

It is an amenable number.

12001331202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001331202313 is an equidigital number, since it uses as much as digits as its factorization.

12001331202313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12001331202313 its reverse (31320213310021), we get a palindrome (43321544512334).

The spelling of 12001331202313 in words is "twelve trillion, one billion, three hundred thirty-one million, two hundred two thousand, three hundred thirteen".