13205135237 has 8 divisors (see below), whose sum is σ = 15979323456. Its totient is φ = 10652882112.

The previous prime is 13205135231. The next prime is 13205135249. The reversal of 13205135237 is 73253150231.

13205135237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13205135237 - 2¹⁰ = 13205134213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205135231) 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 in 7 ways as a sum of consecutive naturals, for example, 55483643 + ... + 55483880.

It is an arithmetic number, because the mean of its divisors is an integer number (1997415432).

Almost surely, 2^13205135237 is an apocalyptic number.

13205135237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13205135237 is a deficient number, since it is larger than the sum of its proper divisors (2774188219).

13205135237 is a wasteful number, since it uses less digits than its factorization.

13205135237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110967547.

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 13205135237 its reverse (73253150231), we get a palindrome (86458285468).

The spelling of 13205135237 in words is "thirteen billion, two hundred five million, one hundred thirty-five thousand, two hundred thirty-seven".