11331200311011 has 192 divisors, whose sum is σ = 19913947545600. Its totient is φ = 6348457285632.

The previous prime is 11331200310929. The next prime is 11331200311019. The reversal of 11331200311011 is 11011300213311.

11331200311011 is a `hidden beast` number, since 1 + 1 + 331 + 20 + 0 + 311 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 11331200311011 - 2⁹ = 11331200310499 is a prime.

It is a super-2 number, since 2×11331200311011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11331200311019) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8790690055 + ... + 8790691343.

It is an arithmetic number, because the mean of its divisors is an integer number (103718476800).

Almost surely, 2^{11331200311011} is an apocalyptic number.

11331200311011 is a deficient number, since it is larger than the sum of its proper divisors (8582747234589).

11331200311011 is a wasteful number, since it uses less digits than its factorization.

11331200311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331200311011 its reverse (11011300213311), we get a palindrome (22342500524322).

The spelling of 11331200311011 in words is "eleven trillion, three hundred thirty-one billion, two hundred million, three hundred eleven thousand, eleven".