1002001101113 has 4 divisors (see below), whose sum is σ = 1015727143668. Its totient is φ = 988275058560.

The previous prime is 1002001101107. The next prime is 1002001101173. The reversal of 1002001101113 is 3111011002001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 409897013824 + 592104087289 = 640232^2 + 769483^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002001101113 - 2³² = 997706133817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002001101094 and 1002001101103.

It is not an unprimeable number, because it can be changed into a prime (1002001101173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6863021168 + ... + 6863021313.

It is an arithmetic number, because the mean of its divisors is an integer number (253931785917).

Almost surely, 2^{1002001101113} is an apocalyptic number.

It is an amenable number.

1002001101113 is a deficient number, since it is larger than the sum of its proper divisors (13726042555).

1002001101113 is an equidigital number, since it uses as much as digits as its factorization.

1002001101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726042554.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1002001101113 its reverse (3111011002001), we get a palindrome (4113012103114).

The spelling of 1002001101113 in words is "one trillion, two billion, one million, one hundred one thousand, one hundred thirteen".