13185800042001 has 32 divisors (see below), whose sum is σ = 18407628933120. Its totient is φ = 8384609486400.

The previous prime is 13185800041957. The next prime is 13185800042039. The reversal of 13185800042001 is 10024000858131.

It is not a de Polignac number, because 13185800042001 - 2⁹ = 13185800041489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13185800042071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131451496 + ... + 131551766.

It is an arithmetic number, because the mean of its divisors is an integer number (575238404160).

Almost surely, 2^{13185800042001} is an apocalyptic number.

It is an amenable number.

13185800042001 is a deficient number, since it is larger than the sum of its proper divisors (5221828891119).

13185800042001 is a wasteful number, since it uses less digits than its factorization.

13185800042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118597.

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 13185800042001 in words is "thirteen trillion, one hundred eighty-five billion, eight hundred million, forty-two thousand, one".