11330332123113 has 24 divisors (see below), whose sum is σ = 17345715810696. Its totient is φ = 7102264896000.

The previous prime is 11330332123051. The next prime is 11330332123151. The reversal of 11330332123113 is 31132123303311.

11330332123113 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 332 + 12 + 311 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5921693503209 + 5408638619904 = 2433453^2 + 2325648^2 .

It is not a de Polignac number, because 11330332123113 - 2¹² = 11330332119017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11330332123153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36109438 + ... + 36421863.

It is an arithmetic number, because the mean of its divisors is an integer number (722738158779).

Almost surely, 2^{11330332123113} is an apocalyptic number.

It is an amenable number.

11330332123113 is a deficient number, since it is larger than the sum of its proper divisors (6015383687583).

11330332123113 is a wasteful number, since it uses less digits than its factorization.

11330332123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72532345 (or 72532342 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11330332123113 its reverse (31132123303311), we get a palindrome (42462455426424).

The spelling of 11330332123113 in words is "eleven trillion, three hundred thirty billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred thirteen".