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13111110320221 is a prime number
BaseRepresentation
bin1011111011001010101100…
…0100101100000001011101
31201102102001211011121122201
42332302223010230001131
53204303023220221341
643515054432211501
72522150351630134
oct276625304540135
951372054147581
1013111110320221
1141a5432a73921
121579030399b91
137414ac20a524
1433481c87291b
1517b0b3ea3331
hexbecab12c05d

13111110320221 has 2 divisors, whose sum is σ = 13111110320222. Its totient is φ = 13111110320220.

The previous prime is 13111110320219. The next prime is 13111110320237. The reversal of 13111110320221 is 12202301111131.

13111110320221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12995772651225 + 115337668996 = 3604965^2 + 339614^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111110320221 - 21 = 13111110320219 is a prime.

It is a super-2 number, since 2×131111103202212 (a number of 27 digits) contains 22 as substring.

Together with 13111110320219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13111110320281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555555160110 + 6555555160111.

It is an arithmetic number, because the mean of its divisors is an integer number (6555555160111).

Almost surely, 213111110320221 is an apocalyptic number.

It is an amenable number.

13111110320221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111110320221 is an equidigital number, since it uses as much as digits as its factorization.

13111110320221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 13111110320221 its reverse (12202301111131), we get a palindrome (25313411431352).

The spelling of 13111110320221 in words is "thirteen trillion, one hundred eleven billion, one hundred ten million, three hundred twenty thousand, two hundred twenty-one".