11331131101218 has 48 divisors (see below), whose sum is σ = 25819927750656. Its totient is φ = 3584376956160.

The previous prime is 11331131101181. The next prime is 11331131101219. The reversal of 11331131101218 is 81210113113311.

It is a happy number.

11331131101218 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 31 + 101 + 218 = 666.

It is a super-2 number, since 2×11331131101218² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331131101191 and 11331131101200.

It is not an unprimeable number, because it can be changed into a prime (11331131101219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107702863 + ... + 107808018.

It is an arithmetic number, because the mean of its divisors is an integer number (537915161472).

Almost surely, 2^{11331131101218} is an apocalyptic number.

11331131101218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11331131101218 is an abundant number, since it is smaller than the sum of its proper divisors (14488796649438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331131101218 is a wasteful number, since it uses less digits than its factorization.

11331131101218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215511039 (or 215511036 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

Adding to 11331131101218 its reverse (81210113113311), we get a palindrome (92541244214529).

The spelling of 11331131101218 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred one thousand, two hundred eighteen".