11331131331221 has 16 divisors (see below), whose sum is σ = 12324220082160. Its totient is φ = 10355405299200.

The previous prime is 11331131331217. The next prime is 11331131331229. The reversal of 11331131331221 is 12213313113311.

It can be written as a sum of positive squares in 8 ways, for example, as 299333728996 + 11031797602225 = 547114^2 + 3321415^2 .

It is not a de Polignac number, because 11331131331221 - 2² = 11331131331217 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 (11331131331229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26082641 + ... + 26513513.

It is an arithmetic number, because the mean of its divisors is an integer number (770263755135).

Almost surely, 2^{11331131331221} is an apocalyptic number.

It is an amenable number.

11331131331221 is a deficient number, since it is larger than the sum of its proper divisors (993088750939).

11331131331221 is a wasteful number, since it uses less digits than its factorization.

11331131331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451016.

The product of its digits is 972, while the sum is 26.

Adding to 11331131331221 its reverse (12213313113311), we get a palindrome (23544444444532).

The spelling of 11331131331221 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty-one".