11264006133313 has 16 divisors (see below), whose sum is σ = 11812567288320. Its totient is φ = 10726134701184.

The previous prime is 11264006133293. The next prime is 11264006133451. The reversal of 11264006133313 is 31333160046211.

It is a cyclic number.

It is not a de Polignac number, because 11264006133313 - 2¹⁷ = 11264006002241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11264006139313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53206770 + ... + 53418052.

It is an arithmetic number, because the mean of its divisors is an integer number (738285455520).

Almost surely, 2^{11264006133313} is an apocalyptic number.

It is an amenable number.

11264006133313 is a deficient number, since it is larger than the sum of its proper divisors (548561155007).

11264006133313 is a wasteful number, since it uses less digits than its factorization.

11264006133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236568.

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 11264006133313 its reverse (31333160046211), we get a palindrome (42597166179524).

The spelling of 11264006133313 in words is "eleven trillion, two hundred sixty-four billion, six million, one hundred thirty-three thousand, three hundred thirteen".