11011005511011 has 24 divisors (see below), whose sum is σ = 17393943930480. Its totient is φ = 6656694912000.

The previous prime is 11011005511007. The next prime is 11011005511013. The reversal of 11011005511011 is 11011550011011.

11011005511011 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 10 + 0 + 551 + 101 + 1 = 666.

It is not a de Polignac number, because 11011005511011 - 2² = 11011005511007 is a prime.

It is a super-2 number, since 2×11011005511011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11011005511013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138641446 + ... + 138720843.

It is an arithmetic number, because the mean of its divisors is an integer number (724747663770).

Almost surely, 2^{11011005511011} is an apocalyptic number.

11011005511011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011005511011 is a deficient number, since it is larger than the sum of its proper divisors (6382938419469).

11011005511011 is a wasteful number, since it uses less digits than its factorization.

11011005511011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277362707 (or 277362704 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 18.

Adding to 11011005511011 its reverse (11011550011011), we get a palindrome (22022555522022).

The spelling of 11011005511011 in words is "eleven trillion, eleven billion, five million, five hundred eleven thousand, eleven".