11040311304011 has 64 divisors (see below), whose sum is σ = 12818326173696. Its totient is φ = 9410843904000.

The previous prime is 11040311303999. The next prime is 11040311304073.

11040311304011 is nontrivially palindromic in base 10.

11040311304011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11040311304011 - 2³⁸ = 10765433397067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11040311394011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3947196065 + ... + 3947198861.

It is an arithmetic number, because the mean of its divisors is an integer number (200286346464).

Almost surely, 2^{11040311304011} is an apocalyptic number.

11040311304011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11040311304011 is a deficient number, since it is larger than the sum of its proper divisors (1778014869685).

11040311304011 is a wasteful number, since it uses less digits than its factorization.

11040311304011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1104031 and 1304011, that added together give a palindrome (2408042).

The spelling of 11040311304011 in words is "eleven trillion, forty billion, three hundred eleven million, three hundred four thousand, eleven".