11005511011113 has 16 divisors (see below), whose sum is σ = 14746212415616. Its totient is φ = 7300955208960.

The previous prime is 11005511011111. The next prime is 11005511011129. The reversal of 11005511011113 is 31111011550011.

It is not a de Polignac number, because 11005511011113 - 2¹ = 11005511011111 is a prime.

It is a super-2 number, since 2×11005511011113² (a number of 27 digits) contains 22 as substring.

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 11005511011113.

It is not an unprimeable number, because it can be changed into a prime (11005511011111) 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, 4899070 + ... + 6783207.

It is an arithmetic number, because the mean of its divisors is an integer number (921638275976).

Almost surely, 2^{11005511011113} is an apocalyptic number.

It is an amenable number.

11005511011113 is a deficient number, since it is larger than the sum of its proper divisors (3740701404503).

11005511011113 is a wasteful number, since it uses less digits than its factorization.

11005511011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683824.

The product of its (nonzero) digits is 75, while the sum is 21.

Adding to 11005511011113 its reverse (31111011550011), we get a palindrome (42116522561124).

The spelling of 11005511011113 in words is "eleven trillion, five billion, five hundred eleven million, eleven thousand, one hundred thirteen".