13205135231 has 2 divisors, whose sum is σ = 13205135232. Its totient is φ = 13205135230.

The previous prime is 13205135201. The next prime is 13205135249. The reversal of 13205135231 is 13253150231.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13205135231 is a prime.

It is a super-2 number, since 2×13205135231² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13205135231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205135201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602567615 + 6602567616.

It is an arithmetic number, because the mean of its divisors is an integer number (6602567616).

Almost surely, 2^13205135231 is an apocalyptic number.

13205135231 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205135231 is an equidigital number, since it uses as much as digits as its factorization.

13205135231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 13205135231 its reverse (13253150231), we get a palindrome (26458285462).

The spelling of 13205135231 in words is "thirteen billion, two hundred five million, one hundred thirty-five thousand, two hundred thirty-one".