1001111010113 has 2 divisors, whose sum is σ = 1001111010114. Its totient is φ = 1001111010112.

The previous prime is 1001111010101. The next prime is 1001111010121. The reversal of 1001111010113 is 3110101111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965929255489 + 35181754624 = 982817^2 + 187568^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111010113 - 2²⁸ = 1000842574657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001111010094 and 1001111010103.

It is not a weakly prime, because it can be changed into another prime (1001111010013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555505056 + 500555505057.

It is an arithmetic number, because the mean of its divisors is an integer number (500555505057).

Almost surely, 2^{1001111010113} is an apocalyptic number.

It is an amenable number.

1001111010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111010113 is an equidigital number, since it uses as much as digits as its factorization.

1001111010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1001111010113 its reverse (3110101111001), we get a palindrome (4111212121114).

The spelling of 1001111010113 in words is "one trillion, one billion, one hundred eleven million, ten thousand, one hundred thirteen".