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13311013020077 is a prime number
BaseRepresentation
bin1100000110110011011000…
…1100111110000110101101
31202010112001101100221110002
43001230312030332012231
53221041423313120302
644150554524554045
72542455211555223
oct301546614760655
952115041327402
1013311013020077
114272194917a83
1215ab91b3b2925
137572b931ca46
14340383a66b13
151813b3b07c02
hexc1b3633e1ad

13311013020077 has 2 divisors, whose sum is σ = 13311013020078. Its totient is φ = 13311013020076.

The previous prime is 13311013020073. The next prime is 13311013020163. The reversal of 13311013020077 is 77002031011331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11130624115081 + 2180388904996 = 3336259^2 + 1476614^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311013020077 - 22 = 13311013020073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311013020073) 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, 6655506510038 + 6655506510039.

It is an arithmetic number, because the mean of its divisors is an integer number (6655506510039).

Almost surely, 213311013020077 is an apocalyptic number.

It is an amenable number.

13311013020077 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311013020077 is an equidigital number, since it uses as much as digits as its factorization.

13311013020077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 13311013020077 in words is "thirteen trillion, three hundred eleven billion, thirteen million, twenty thousand, seventy-seven".