11330134041312 has 72 divisors (see below), whose sum is σ = 32222072184120. Its totient is φ = 3776476504320.

The previous prime is 11330134041307. The next prime is 11330134041313. The reversal of 11330134041312 is 21314043103311.

11330134041312 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 1 + 340 + 4 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330134041313) 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 11 ways as a sum of consecutive naturals, for example, 3447387 + ... + 5877477.

It is an arithmetic number, because the mean of its divisors is an integer number (447528780335).

Almost surely, 2^{11330134041312} is an apocalyptic number.

11330134041312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330134041312 is an abundant number, since it is smaller than the sum of its proper divisors (20891938142808).

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

11330134041312 is a wasteful number, since it uses less digits than its factorization.

11330134041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446296 (or 2446285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11330134041312 its reverse (21314043103311), we get a palindrome (32644177144623).

The spelling of 11330134041312 in words is "eleven trillion, three hundred thirty billion, one hundred thirty-four million, forty-one thousand, three hundred twelve".