13500135115335 has 48 divisors (see below), whose sum is σ = 25539611374368. Its totient is φ = 6542421811200.

The previous prime is 13500135115319. The next prime is 13500135115349. The reversal of 13500135115335 is 53351153100531.

13500135115335 is a `hidden beast` number, since 1 + 3 + 50 + 0 + 13 + 511 + 53 + 35 = 666.

It is not a de Polignac number, because 13500135115335 - 2⁴ = 13500135115319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13500135115335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5407686 + ... + 7499555.

It is an arithmetic number, because the mean of its divisors is an integer number (532075236966).

Almost surely, 2^{13500135115335} is an apocalyptic number.

13500135115335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13500135115335 is a deficient number, since it is larger than the sum of its proper divisors (12039476259033).

13500135115335 is a wasteful number, since it uses less digits than its factorization.

13500135115335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909376 (or 12909373 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 36.

Adding to 13500135115335 its reverse (53351153100531), we get a palindrome (66851288215866).

The spelling of 13500135115335 in words is "thirteen trillion, five hundred billion, one hundred thirty-five million, one hundred fifteen thousand, three hundred thirty-five".