10000100001113 has 4 divisors (see below), whose sum is σ = 10032254663808. Its totient is φ = 9967945338420.

The previous prime is 10000100001097. The next prime is 10000100001187. The reversal of 10000100001113 is 31110000100001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10000100001113 - 2⁴ = 10000100001097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100001113.

It is not an unprimeable number, because it can be changed into a prime (10000100001313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16077330881 + ... + 16077331502.

It is an arithmetic number, because the mean of its divisors is an integer number (2508063665952).

Almost surely, 2^{10000100001113} is an apocalyptic number.

It is an amenable number.

10000100001113 is a deficient number, since it is larger than the sum of its proper divisors (32154662695).

10000100001113 is an equidigital number, since it uses as much as digits as its factorization.

10000100001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32154662694.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10000100001113 its reverse (31110000100001), we get a palindrome (41110100101114).

The spelling of 10000100001113 in words is "ten trillion, one hundred million, one thousand, one hundred thirteen".