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13148340817 is a prime number
BaseRepresentation
bin11000011111011001…
…11100001001010001
31020221022220220210211
430033230330021101
5203411433401232
610012410324121
7643554024103
oct141754741121
936838826724
1013148340817
115637994077
12266b429641
13131703c631
148ca341573
1551e4a4a47
hex30fb3c251

13148340817 has 2 divisors, whose sum is σ = 13148340818. Its totient is φ = 13148340816.

The previous prime is 13148340811. The next prime is 13148340823. The reversal of 13148340817 is 71804384131.

It is a happy number.

13148340817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13148340811) and next prime (13148340823).

It can be written as a sum of positive squares in only one way, i.e., 8968847616 + 4179493201 = 94704^2 + 64649^2 .

It is a cyclic number.

It is not a de Polignac number, because 13148340817 - 219 = 13147816529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13148340817.

It is not a weakly prime, because it can be changed into another prime (13148340811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6574170408 + 6574170409.

It is an arithmetic number, because the mean of its divisors is an integer number (6574170409).

Almost surely, 213148340817 is an apocalyptic number.

It is an amenable number.

13148340817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13148340817 is an equidigital number, since it uses as much as digits as its factorization.

13148340817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 13148340817 in words is "thirteen billion, one hundred forty-eight million, three hundred forty thousand, eight hundred seventeen".