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13311000701 is a prime number
BaseRepresentation
bin11000110010110010…
…11100000001111101
31021100122222220012222
430121121130001331
5204230104010301
610040500535125
7650600432135
oct143131340175
937318886188
1013311000701
115710792929
1226b59b14a5
13134195199b
14903ba3ac5
1552d8d531b
hex31965c07d

13311000701 has 2 divisors, whose sum is σ = 13311000702. Its totient is φ = 13311000700.

The previous prime is 13311000643. The next prime is 13311000709. The reversal of 13311000701 is 10700011331.

13311000701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11030460676 + 2280540025 = 105026^2 + 47755^2 .

It is an emirp because it is prime and its reverse (10700011331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13311000701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13311000701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311000709) 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, 6655500350 + 6655500351.

It is an arithmetic number, because the mean of its divisors is an integer number (6655500351).

Almost surely, 213311000701 is an apocalyptic number.

It is an amenable number.

13311000701 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311000701 is an equidigital number, since it uses as much as digits as its factorization.

13311000701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The spelling of 13311000701 in words is "thirteen billion, three hundred eleven million, seven hundred one", and thus it is an aban number.