1010011110013 has 2 divisors, whose sum is σ = 1010011110014. Its totient is φ = 1010011110012.

The previous prime is 1010011109977. The next prime is 1010011110047. The reversal of 1010011110013 is 3100111100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986720382244 + 23290727769 = 993338^2 + 152613^2 .

It is an emirp because it is prime and its reverse (3100111100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010011110013 - 2⁹ = 1010011109501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010011110113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505005555006 + 505005555007.

It is an arithmetic number, because the mean of its divisors is an integer number (505005555007).

Almost surely, 2^{1010011110013} is an apocalyptic number.

It is an amenable number.

1010011110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010011110013 is an equidigital number, since it uses as much as digits as its factorization.

1010011110013 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 10.

Adding to 1010011110013 its reverse (3100111100101), we get a palindrome (4110122210114).

The spelling of 1010011110013 in words is "one trillion, ten billion, eleven million, one hundred ten thousand, thirteen".