11331131102111 has 48 divisors (see below), whose sum is σ = 11945925411840. Its totient is φ = 10740153600000.

The previous prime is 11331131102087. The next prime is 11331131102119. The reversal of 11331131102111 is 11120113113311.

It is not a de Polignac number, because 11331131102111 - 2²⁶ = 11331063993247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131102119) 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 47 ways as a sum of consecutive naturals, for example, 9844596386 + ... + 9844597536.

It is an arithmetic number, because the mean of its divisors is an integer number (248873446080).

Almost surely, 2^{11331131102111} is an apocalyptic number.

11331131102111 is a deficient number, since it is larger than the sum of its proper divisors (614794309729).

11331131102111 is an equidigital number, since it uses as much as digits as its factorization.

11331131102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 11331131102111 its reverse (11120113113311), we get a palindrome (22451244215422).

The spelling of 11331131102111 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand, one hundred eleven".