13135005113353 has 8 divisors (see below), whose sum is σ = 14051030335272. Its totient is φ = 12234910765056.

The previous prime is 13135005113339. The next prime is 13135005113401. The reversal of 13135005113353 is 35331150053131.

It can be written as a sum of positive squares in 4 ways, for example, as 7594009252729 + 5540995860624 = 2755723^2 + 2353932^2 .

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 13135005113353 - 2⁹ = 13135005112841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13135005114353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3982716700 + ... + 3982719997.

It is an arithmetic number, because the mean of its divisors is an integer number (1756378791909).

Almost surely, 2^{13135005113353} is an apocalyptic number.

It is an amenable number.

13135005113353 is a deficient number, since it is larger than the sum of its proper divisors (916025221919).

13135005113353 is an equidigital number, since it uses as much as digits as its factorization.

13135005113353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965436811.

The product of its (nonzero) digits is 30375, while the sum is 34.

Adding to 13135005113353 its reverse (35331150053131), we get a palindrome (48466155166484).

The spelling of 13135005113353 in words is "thirteen trillion, one hundred thirty-five billion, five million, one hundred thirteen thousand, three hundred fifty-three".