11331131011113 has 8 divisors (see below), whose sum is σ = 15111559905408. Its totient is φ = 7552394728784.

The previous prime is 11331131011069. The next prime is 11331131011139. The reversal of 11331131011113 is 31111013113311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11331131011113 - 2⁹ = 11331131010601 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131011113.

It is not an unprimeable number, because it can be changed into a prime (11331131010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423137370 + ... + 423164147.

It is an arithmetic number, because the mean of its divisors is an integer number (1888944988176).

Almost surely, 2^{11331131011113} is an apocalyptic number.

It is an amenable number.

11331131011113 is a deficient number, since it is larger than the sum of its proper divisors (3780428894295).

11331131011113 is an equidigital number, since it uses as much as digits as its factorization.

11331131011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846305983.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 11331131011113 its reverse (31111013113311), we get a palindrome (42442144124424).

The spelling of 11331131011113 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, eleven thousand, one hundred thirteen".