1011101310113 has 16 divisors (see below), whose sum is σ = 1065777534720. Its totient is φ = 956572073856.

The previous prime is 1011101310091. The next prime is 1011101310139. The reversal of 1011101310113 is 3110131011101.

It is not a de Polignac number, because 1011101310113 - 2⁸ = 1011101309857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011101310173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43166381 + ... + 43189797.

It is an arithmetic number, because the mean of its divisors is an integer number (66611095920).

Almost surely, 2^{1011101310113} is an apocalyptic number.

It is an amenable number.

1011101310113 is a deficient number, since it is larger than the sum of its proper divisors (54676224607).

1011101310113 is a wasteful number, since it uses less digits than its factorization.

1011101310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26456.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1011101310113 its reverse (3110131011101), we get a palindrome (4121232321214).

The spelling of 1011101310113 in words is "one trillion, eleven billion, one hundred one million, three hundred ten thousand, one hundred thirteen".