2111200011113 has 6 divisors (see below), whose sum is σ = 2206982242794. Its totient is φ = 2019408705776.

The previous prime is 2111200011101. The next prime is 2111200011119. The reversal of 2111200011113 is 3111100021112.

It can be written as a sum of positive squares in only one way, i.e., 1355983394089 + 755216617024 = 1164467^2 + 869032^2 .

It is not a de Polignac number, because 2111200011113 - 2¹⁰ = 2111200010089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111200011119) 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 5 ways as a sum of consecutive naturals, for example, 1995462620 + ... + 1995463677.

It is an arithmetic number, because the mean of its divisors is an integer number (367830373799).

Almost surely, 2^{2111200011113} is an apocalyptic number.

2111200011113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2111200011113 is a deficient number, since it is larger than the sum of its proper divisors (95782231681).

2111200011113 is an equidigital number, since it uses as much as digits as its factorization.

2111200011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990926343 (or 3990926320 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2111200011113 its reverse (3111100021112), we get a palindrome (5222300032225).

Subtracting 2111200011113 from its reverse (3111100021112), we obtain a palindrome (999900009999).

The spelling of 2111200011113 in words is "two trillion, one hundred eleven billion, two hundred million, eleven thousand, one hundred thirteen".