11331131312205 has 12 divisors (see below), whose sum is σ = 19640627607900. Its totient is φ = 6043270033152.

The previous prime is 11331131312203. The next prime is 11331131312227. The reversal of 11331131312205 is 50221313113311.

11331131312205 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 31 + 312 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3879001152324 + 7452130159881 = 1969518^2 + 2729859^2 .

It is not a de Polignac number, because 11331131312205 - 2¹ = 11331131312203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131312203) 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 11 ways as a sum of consecutive naturals, for example, 125901458980 + ... + 125901459069.

It is an arithmetic number, because the mean of its divisors is an integer number (1636718967325).

Almost surely, 2^{11331131312205} is an apocalyptic number.

11331131312205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11331131312205 is a deficient number, since it is larger than the sum of its proper divisors (8309496295695).

11331131312205 is a wasteful number, since it uses less digits than its factorization.

11331131312205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251802918060 (or 251802918057 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 11331131312205 its reverse (50221313113311), we get a palindrome (61552444425516).

The spelling of 11331131312205 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, two hundred five".