11110001001011 has 48 divisors (see below), whose sum is σ = 12840668957088. Its totient is φ = 9596136000000.

The previous prime is 11110001000993. The next prime is 11110001001049. The reversal of 11110001001011 is 11010010001111.

It is not a de Polignac number, because 11110001001011 - 2²⁶ = 11109933892147 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110001001011.

It is not an unprimeable number, because it can be changed into a prime (11110001001091) 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 47 ways as a sum of consecutive naturals, for example, 30382976 + ... + 30746466.

It is an arithmetic number, because the mean of its divisors is an integer number (267513936606).

Almost surely, 2^{11110001001011} is an apocalyptic number.

11110001001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11110001001011 is a deficient number, since it is larger than the sum of its proper divisors (1730667956077).

11110001001011 is a wasteful number, since it uses less digits than its factorization.

11110001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363716 (or 363705 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11110001001011 its reverse (11010010001111), we get a palindrome (22120011002122).

It can be divided in two parts, 1111000100 and 1011, that added together give a palindrome (1111001111).

The spelling of 11110001001011 in words is "eleven trillion, one hundred ten billion, one million, one thousand, eleven".