11111300031312 has 60 divisors (see below), whose sum is σ = 33488223711124. Its totient is φ = 3418861547520.

The previous prime is 11111300031301. The next prime is 11111300031343. The reversal of 11111300031312 is 21313000311111.

11111300031312 is a `hidden beast` number, since 1 + 11 + 11 + 300 + 0 + 31 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1808336425536 + 9302963605776 = 1344744^2 + 3050076^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 2967759889 + ... + 2967763632.

Almost surely, 2^{11111300031312} is an apocalyptic number.

11111300031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111300031312 is an abundant number, since it is smaller than the sum of its proper divisors (22376923679812).

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

11111300031312 is a wasteful number, since it uses less digits than its factorization.

11111300031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935523548 (or 5935523539 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11111300031312 its reverse (21313000311111), we get a palindrome (32424300342423).

The spelling of 11111300031312 in words is "eleven trillion, one hundred eleven billion, three hundred million, thirty-one thousand, three hundred twelve".