10002111001113 has 64 divisors (see below), whose sum is σ = 16660585267200. Its totient is φ = 5185379453760.

The previous prime is 10002111001087. The next prime is 10002111001117. The reversal of 10002111001113 is 31110011120001.

It is not a de Polignac number, because 10002111001113 - 2⁸ = 10002111000857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002111001117) 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 63 ways as a sum of consecutive naturals, for example, 296438598 + ... + 296472336.

It is an arithmetic number, because the mean of its divisors is an integer number (260321644800).

Almost surely, 2^{10002111001113} is an apocalyptic number.

It is an amenable number.

10002111001113 is a deficient number, since it is larger than the sum of its proper divisors (6658474266087).

10002111001113 is a wasteful number, since it uses less digits than its factorization.

10002111001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10002111001113 its reverse (31110011120001), we get a palindrome (41112122121114).

The spelling of 10002111001113 in words is "ten trillion, two billion, one hundred eleven million, one thousand, one hundred thirteen".