11331131311305 has 48 divisors (see below), whose sum is σ = 21498190184016. Its totient is φ = 5486953858560.

The previous prime is 11331131311301. The next prime is 11331131311309. The reversal of 11331131311305 is 50311313113311.

11331131311305 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 11 + 31 + 311 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (11331131311301) and next prime (11331131311309).

It can be written as a sum of positive squares in 8 ways, for example, as 3460682604681 + 7870448706624 = 1860291^2 + 2805432^2 .

It is not a de Polignac number, because 11331131311305 - 2² = 11331131311301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11331131311301) 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 47 ways as a sum of consecutive naturals, for example, 158730342 + ... + 158801711.

It is an arithmetic number, because the mean of its divisors is an integer number (447878962167).

Almost surely, 2^{11331131311305} is an apocalyptic number.

11331131311305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11331131311305 is a deficient number, since it is larger than the sum of its proper divisors (10167058872711).

11331131311305 is a wasteful number, since it uses less digits than its factorization.

11331131311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317532138 (or 317532135 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

Adding to 11331131311305 its reverse (50311313113311), we get a palindrome (61642444424616).

The spelling of 11331131311305 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, three hundred five".