13435124205 has 64 divisors (see below), whose sum is σ = 23832092160. Its totient is φ = 6438491136.

The previous prime is 13435124203. The next prime is 13435124221. The reversal of 13435124205 is 50242153431.

It is not a de Polignac number, because 13435124205 - 2¹ = 13435124203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435124201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352039 + ... + 388331.

It is an arithmetic number, because the mean of its divisors is an integer number (372376440).

Almost surely, 2^13435124205 is an apocalyptic number.

13435124205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13435124205 is a deficient number, since it is larger than the sum of its proper divisors (10396967955).

13435124205 is a wasteful number, since it uses less digits than its factorization.

13435124205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36390.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13435124205 its reverse (50242153431), we get a palindrome (63677277636).

The spelling of 13435124205 in words is "thirteen billion, four hundred thirty-five million, one hundred twenty-four thousand, two hundred five".