11271133117211 has 16 divisors (see below), whose sum is σ = 12507023894400. Its totient is φ = 10070528260800.

The previous prime is 11271133117199. The next prime is 11271133117219.

11271133117211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11271133117211 - 2¹⁴ = 11271133100827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11271133117219) 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, 891956 + ... + 4830926.

It is an arithmetic number, because the mean of its divisors is an integer number (781688993400).

Almost surely, 2^{11271133117211} is an apocalyptic number.

11271133117211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11271133117211 is a deficient number, since it is larger than the sum of its proper divisors (1235890777189).

11271133117211 is a wasteful number, since it uses less digits than its factorization.

11271133117211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943450.

The product of its digits is 1764, while the sum is 32.

The spelling of 11271133117211 in words is "eleven trillion, two hundred seventy-one billion, one hundred thirty-three million, one hundred seventeen thousand, two hundred eleven".