11331131101101 has 40 divisors (see below), whose sum is σ = 19345158546560. Its totient is φ = 6474831710112.

The previous prime is 11331131101097. The next prime is 11331131101159. The reversal of 11331131101101 is 10110113113311.

11331131101101 is a `hidden beast` number, since 1 + 1 + 331 + 131 + 101 + 101 = 666.

It is not a de Polignac number, because 11331131101101 - 2² = 11331131101097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131101181) 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 39 ways as a sum of consecutive naturals, for example, 51850275 + ... + 52068351.

It is an arithmetic number, because the mean of its divisors is an integer number (483628963664).

Almost surely, 2^{11331131101101} is an apocalyptic number.

It is an amenable number.

11331131101101 is a deficient number, since it is larger than the sum of its proper divisors (8014027445459).

11331131101101 is an equidigital number, since it uses as much as digits as its factorization.

11331131101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309735 (or 309726 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 11331131101101 its reverse (10110113113311), we get a palindrome (21441244214412).

The spelling of 11331131101101 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred one thousand, one hundred one".