100002002010013 has 32 divisors (see below), whose sum is σ = 104913789644160. Its totient is φ = 95192733081600.

The previous prime is 100002002009981. The next prime is 100002002010133. The reversal of 100002002010013 is 310010200200001.

It is a cyclic number.

It is not a de Polignac number, because 100002002010013 - 2⁵ = 100002002009981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002002017013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3915952381 + ... + 3915977917.

It is an arithmetic number, because the mean of its divisors is an integer number (3278555926380).

Almost surely, 2^{100002002010013} is an apocalyptic number.

It is an amenable number.

100002002010013 is a deficient number, since it is larger than the sum of its proper divisors (4911787634147).

100002002010013 is a wasteful number, since it uses less digits than its factorization.

100002002010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28957.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100002002010013 its reverse (310010200200001), we get a palindrome (410012202210014).

The spelling of 100002002010013 in words is "one hundred trillion, two billion, two million, ten thousand, thirteen".