1001010101113 has 24 divisors (see below), whose sum is σ = 1146804259328. Its totient is φ = 872103672000.

The previous prime is 1001010101089. The next prime is 1001010101167. The reversal of 1001010101113 is 3111010101001.

It is not a de Polignac number, because 1001010101113 - 2²⁵ = 1000976546681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010101113.

It is not an unprimeable number, because it can be changed into a prime (1001010111113) 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 23 ways as a sum of consecutive naturals, for example, 909108 + ... + 1681813.

Almost surely, 2^{1001010101113} is an apocalyptic number.

It is an amenable number.

1001010101113 is a deficient number, since it is larger than the sum of its proper divisors (145794158215).

1001010101113 is a wasteful number, since it uses less digits than its factorization.

1001010101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591077 (or 2591066 counting only the distinct ones).

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

Adding to 1001010101113 its reverse (3111010101001), we get a palindrome (4112020202114).

The spelling of 1001010101113 in words is "one trillion, one billion, ten million, one hundred one thousand, one hundred thirteen".