11133440204211 has 64 divisors (see below), whose sum is σ = 18244919145600. Its totient is φ = 6665412146688.

The previous prime is 11133440204207. The next prime is 11133440204221. The reversal of 11133440204211 is 11240204433111.

It is a happy number.

11133440204211 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 440 + 2 + 0 + 4 + 211 = 666.

It is not a de Polignac number, because 11133440204211 - 2² = 11133440204207 is a prime.

It is a super-3 number, since 3×11133440204211³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11133440204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125630905 + ... + 125719493.

It is an arithmetic number, because the mean of its divisors is an integer number (285076861650).

Almost surely, 2^{11133440204211} is an apocalyptic number.

11133440204211 is a deficient number, since it is larger than the sum of its proper divisors (7111478941389).

11133440204211 is a wasteful number, since it uses less digits than its factorization.

11133440204211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98325 (or 98319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11133440204211 its reverse (11240204433111), we get a palindrome (22373644637322).

The spelling of 11133440204211 in words is "eleven trillion, one hundred thirty-three billion, four hundred forty million, two hundred four thousand, two hundred eleven".