13185238361135 has 16 divisors (see below), whose sum is σ = 16058609603712. Its totient is φ = 10390644976800.

The previous prime is 13185238361089. The next prime is 13185238361177. The reversal of 13185238361135 is 53116383258131.

It is not a de Polignac number, because 13185238361135 - 2³⁸ = 12910360454191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48308600 + ... + 48580770.

It is an arithmetic number, because the mean of its divisors is an integer number (1003663100232).

Almost surely, 2^{13185238361135} is an apocalyptic number.

13185238361135 is a deficient number, since it is larger than the sum of its proper divisors (2873371242577).

13185238361135 is a wasteful number, since it uses less digits than its factorization.

13185238361135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416854.

The product of its digits is 1555200, while the sum is 50.

The spelling of 13185238361135 in words is "thirteen trillion, one hundred eighty-five billion, two hundred thirty-eight million, three hundred sixty-one thousand, one hundred thirty-five".