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13723584913 is a prime number
BaseRepresentation
bin11001100011111110…
…10100100110010001
31022102102100100100201
430301333110212101
5211101214204123
610145440015201
7664040355433
oct146177244621
938372310321
1013723584913
115902673515
1227b0001501
1313a927b15c
149428c2653
15554c325ad
hex331fd4991

13723584913 has 2 divisors, whose sum is σ = 13723584914. Its totient is φ = 13723584912.

The previous prime is 13723584911. The next prime is 13723584923. The reversal of 13723584913 is 31948532731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12734671104 + 988913809 = 112848^2 + 31447^2 .

It is an emirp because it is prime and its reverse (31948532731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13723584913 - 21 = 13723584911 is a prime.

Together with 13723584911, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13723584911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6861792456 + 6861792457.

It is an arithmetic number, because the mean of its divisors is an integer number (6861792457).

Almost surely, 213723584913 is an apocalyptic number.

It is an amenable number.

13723584913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13723584913 is an equidigital number, since it uses as much as digits as its factorization.

13723584913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 46.

The spelling of 13723584913 in words is "thirteen billion, seven hundred twenty-three million, five hundred eighty-four thousand, nine hundred thirteen".