1001000111113 has 2 divisors, whose sum is σ = 1001000111114. Its totient is φ = 1001000111112.

The previous prime is 1001000111077. The next prime is 1001000111117. The reversal of 1001000111113 is 3111110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 844656578704 + 156343532409 = 919052^2 + 395403^2 .

It is an emirp because it is prime and its reverse (3111110001001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001000111113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000111113.

It is not a weakly prime, because it can be changed into another prime (1001000111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500055556 + 500500055557.

It is an arithmetic number, because the mean of its divisors is an integer number (500500055557).

Almost surely, 2^{1001000111113} is an apocalyptic number.

It is an amenable number.

1001000111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000111113 is an equidigital number, since it uses as much as digits as its factorization.

1001000111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1001000111113 its reverse (3111110001001), we get a palindrome (4112110112114).

The spelling of 1001000111113 in words is "one trillion, one billion, one hundred eleven thousand, one hundred thirteen".