13117127025353 has 16 divisors (see below), whose sum is σ = 14192107944000. Its totient is φ = 12051662901696.

The previous prime is 13117127025283. The next prime is 13117127025371. The reversal of 13117127025353 is 35352072171131.

13117127025353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13117127025353 - 2¹⁶ = 13117126959817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13117127025353.

It is not an unprimeable number, because it can be changed into a prime (13117127225353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486898 + ... + 5333396.

It is an arithmetic number, because the mean of its divisors is an integer number (887006746500).

Almost surely, 2^{13117127025353} is an apocalyptic number.

13117127025353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13117127025353 is a deficient number, since it is larger than the sum of its proper divisors (1074980918647).

13117127025353 is a wasteful number, since it uses less digits than its factorization.

13117127025353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847736.

The product of its (nonzero) digits is 132300, while the sum is 41.

Adding to 13117127025353 its reverse (35352072171131), we get a palindrome (48469199196484).

The spelling of 13117127025353 in words is "thirteen trillion, one hundred seventeen billion, one hundred twenty-seven million, twenty-five thousand, three hundred fifty-three".