1002112100013 has 24 divisors (see below), whose sum is σ = 1435317935040. Its totient is φ = 621711270400.

The previous prime is 1002112099991. The next prime is 1002112100029. The reversal of 1002112100013 is 3100012112001.

It is not a de Polignac number, because 1002112100013 - 2⁵ = 1002112099981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6416313 + ... + 6570638.

It is an arithmetic number, because the mean of its divisors is an integer number (59804913960).

Almost surely, 2^{1002112100013} is an apocalyptic number.

It is an amenable number.

1002112100013 is a deficient number, since it is larger than the sum of its proper divisors (433205835027).

1002112100013 is a wasteful number, since it uses less digits than its factorization.

1002112100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987077 (or 12987060 counting only the distinct ones).

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

Adding to 1002112100013 its reverse (3100012112001), we get a palindrome (4102124212014).

The spelling of 1002112100013 in words is "one trillion, two billion, one hundred twelve million, one hundred thousand, thirteen".