13205218289 has 2 divisors, whose sum is σ = 13205218290. Its totient is φ = 13205218288.

The previous prime is 13205218259. The next prime is 13205218363. The reversal of 13205218289 is 98281250231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12170502400 + 1034715889 = 110320^2 + 32167^2 .

It is a cyclic number.

It is not a de Polignac number, because 13205218289 - 2¹² = 13205214193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13205218249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602609144 + 6602609145.

It is an arithmetic number, because the mean of its divisors is an integer number (6602609145).

Almost surely, 2^13205218289 is an apocalyptic number.

It is an amenable number.

13205218289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205218289 is an equidigital number, since it uses as much as digits as its factorization.

13205218289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 13205218289 in words is "thirteen billion, two hundred five million, two hundred eighteen thousand, two hundred eighty-nine".