13185570511242 has 48 divisors (see below), whose sum is σ = 29278039681800. Its totient is φ = 4286158156800.

The previous prime is 13185570511241. The next prime is 13185570511301. The reversal of 13185570511242 is 24211507558131.

13185570511242 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 5 + 570 + 51 + 1 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8783215395201 + 4402355116041 = 2963649^2 + 2098179^2 .

It is not an unprimeable number, because it can be changed into a prime (13185570511241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2088367 + ... + 5543682.

Almost surely, 2^{13185570511242} is an apocalyptic number.

13185570511242 is an abundant number, since it is smaller than the sum of its proper divisors (16092469170558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13185570511242 is a wasteful number, since it uses less digits than its factorization.

13185570511242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634439 (or 7634436 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 13185570511242 in words is "thirteen trillion, one hundred eighty-five billion, five hundred seventy million, five hundred eleven thousand, two hundred forty-two".