13205124103135 has 32 divisors (see below), whose sum is σ = 16132616228160. Its totient is φ = 10373524761600.

The previous prime is 13205124103123. The next prime is 13205124103141. The reversal of 13205124103135 is 53130142150231.

It is not a de Polignac number, because 13205124103135 - 2¹⁷ = 13205123972063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13205124103097 and 13205124103106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800776929 + ... + 1800784261.

It is an arithmetic number, because the mean of its divisors is an integer number (504144257130).

Almost surely, 2^{13205124103135} is an apocalyptic number.

13205124103135 is a deficient number, since it is larger than the sum of its proper divisors (2927492125025).

13205124103135 is a wasteful number, since it uses less digits than its factorization.

13205124103135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 13205124103135 its reverse (53130142150231), we get a palindrome (66335266253366).

The spelling of 13205124103135 in words is "thirteen trillion, two hundred five billion, one hundred twenty-four million, one hundred three thousand, one hundred thirty-five".