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12021231310013 is a prime number
BaseRepresentation
bin1010111011101110100100…
…1110001101010010111101
31120120012220021112101211202
42232323221032031102331
53033423440203410023
641322251042425245
72350335214120352
oct256735116152275
946505807471752
1012021231310013
1139151a2755302
121421966062225
1369279c202013
142d7b8b624629
1515ca76d0e128
hexaeee938d4bd

12021231310013 has 2 divisors, whose sum is σ = 12021231310014. Its totient is φ = 12021231310012.

The previous prime is 12021231309883. The next prime is 12021231310021. The reversal of 12021231310013 is 31001313212021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10623414572164 + 1397816737849 = 3259358^2 + 1182293^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021231310013 - 218 = 12021231047869 is a prime.

It is a super-2 number, since 2×120212313100132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12621231310013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6010615655006 + 6010615655007.

It is an arithmetic number, because the mean of its divisors is an integer number (6010615655007).

Almost surely, 212021231310013 is an apocalyptic number.

It is an amenable number.

12021231310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021231310013 is an equidigital number, since it uses as much as digits as its factorization.

12021231310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12021231310013 its reverse (31001313212021), we get a palindrome (43022544522034).

The spelling of 12021231310013 in words is "twelve trillion, twenty-one billion, two hundred thirty-one million, three hundred ten thousand, thirteen".