4005102014013 has 8 divisors (see below), whose sum is σ = 5340145380768. Its totient is φ = 2670063328304.

The previous prime is 4005102014003. The next prime is 4005102014033. The reversal of 4005102014013 is 3104102015004.

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 4005102014013 - 2⁹ = 4005102013501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005102014003) 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, 2275795 + ... + 3631727.

It is an arithmetic number, because the mean of its divisors is an integer number (667518172596).

Almost surely, 2^{4005102014013} is an apocalyptic number.

It is an amenable number.

4005102014013 is a deficient number, since it is larger than the sum of its proper divisors (1335043366755).

4005102014013 is a wasteful number, since it uses less digits than its factorization.

4005102014013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340523.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 4005102014013 its reverse (3104102015004), we get a palindrome (7109204029017).

Subtracting from 4005102014013 its reverse (3104102015004), we obtain a palindrome (900999999009).

The spelling of 4005102014013 in words is "four trillion, five billion, one hundred two million, fourteen thousand, thirteen".