1010001011113 has 2 divisors, whose sum is σ = 1010001011114. Its totient is φ = 1010001011112.

The previous prime is 1010001011093. The next prime is 1010001011177. The reversal of 1010001011113 is 3111101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 890884913689 + 119116097424 = 943867^2 + 345132^2 .

It is an emirp because it is prime and its reverse (3111101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010001011113 - 2²¹ = 1009998913961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010001011113.

It is not a weakly prime, because it can be changed into another prime (1010001011413) 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 as a sum of consecutive naturals, namely, 505000505556 + 505000505557.

It is an arithmetic number, because the mean of its divisors is an integer number (505000505557).

Almost surely, 2^{1010001011113} is an apocalyptic number.

It is an amenable number.

1010001011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001011113 is an equidigital number, since it uses as much as digits as its factorization.

1010001011113 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 1010001011113 its reverse (3111101000101), we get a palindrome (4121102011214).

The spelling of 1010001011113 in words is "one trillion, ten billion, one million, eleven thousand, one hundred thirteen".