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13111110313141 is a prime number
BaseRepresentation
bin1011111011001010101100…
…0100101010010010110101
31201102102001211011020221111
42332302223010222102311
53204303023220010031
643515054432115021
72522150351600401
oct276625304522265
951372054136844
1013111110313141
1141a5432a69575
121579030395a71
137414ac207239
1433481c870101
1517b0b3ea11b1
hexbecab12a4b5

13111110313141 has 2 divisors, whose sum is σ = 13111110313142. Its totient is φ = 13111110313140.

The previous prime is 13111110313121. The next prime is 13111110313199. The reversal of 13111110313141 is 14131301111131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6985163558916 + 6125946754225 = 2642946^2 + 2475065^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111110313141 - 213 = 13111110304949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13111110313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555555156570 + 6555555156571.

It is an arithmetic number, because the mean of its divisors is an integer number (6555555156571).

Almost surely, 213111110313141 is an apocalyptic number.

It is an amenable number.

13111110313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111110313141 is an equidigital number, since it uses as much as digits as its factorization.

13111110313141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 13111110313141 its reverse (14131301111131), we get a palindrome (27242411424272).

The spelling of 13111110313141 in words is "thirteen trillion, one hundred eleven billion, one hundred ten million, three hundred thirteen thousand, one hundred forty-one".