10111311311101 has 32 divisors (see below), whose sum is σ = 13747874918400. Its totient is φ = 7180809554880.

The previous prime is 10111311311077. The next prime is 10111311311107.

It is a happy number.

10111311311101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10111311311101 - 2¹¹ = 10111311309053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111311311107) 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 31 ways as a sum of consecutive naturals, for example, 63852631 + ... + 64010788.

It is an arithmetic number, because the mean of its divisors is an integer number (429621091200).

Almost surely, 2^{10111311311101} is an apocalyptic number.

10111311311101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111311311101 is a deficient number, since it is larger than the sum of its proper divisors (3636563607299).

10111311311101 is a wasteful number, since it uses less digits than its factorization.

10111311311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127863529.

The product of its (nonzero) digits is 9, while the sum is 16.

It can be divided in two parts, 1011131 and 1311101, that added together give a palindrome (2322232).

The spelling of 10111311311101 in words is "ten trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred one".