11506413054213 has 48 divisors (see below), whose sum is σ = 20754982310400. Its totient is φ = 5967700734240.

The previous prime is 11506413054179. The next prime is 11506413054217. The reversal of 11506413054213 is 31245031460511.

11506413054213 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 641 + 3 + 0 + 5 + 4 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 11506413054213 - 2²⁸ = 11506144618757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506413054217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12982803 + ... + 13840736.

It is an arithmetic number, because the mean of its divisors is an integer number (432395464800).

Almost surely, 2^{11506413054213} is an apocalyptic number.

It is an amenable number.

11506413054213 is a deficient number, since it is larger than the sum of its proper divisors (9248569256187).

11506413054213 is a wasteful number, since it uses less digits than its factorization.

11506413054213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26824182 (or 26824179 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11506413054213 in words is "eleven trillion, five hundred six billion, four hundred thirteen million, fifty-four thousand, two hundred thirteen".