13135354217713 has 16 divisors (see below), whose sum is σ = 16226688683520. Its totient is φ = 10354172740416.

The previous prime is 13135354217681. The next prime is 13135354217719. The reversal of 13135354217713 is 31771245353131.

It is a happy number.

13135354217713 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 13135354217713 - 2⁵ = 13135354217681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13135354217719) 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, 268273945 + ... + 268322902.

It is an arithmetic number, because the mean of its divisors is an integer number (1014168042720).

Almost surely, 2^{13135354217713} is an apocalyptic number.

13135354217713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13135354217713 is a deficient number, since it is larger than the sum of its proper divisors (3091334465807).

13135354217713 is a wasteful number, since it uses less digits than its factorization.

13135354217713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536597136.

The product of its digits is 793800, while the sum is 46.

The spelling of 13135354217713 in words is "thirteen trillion, one hundred thirty-five billion, three hundred fifty-four million, two hundred seventeen thousand, seven hundred thirteen".