11314144141311 has 32 divisors (see below), whose sum is σ = 16578855760896. Its totient is φ = 6806419088000.

The previous prime is 11314144141309. The next prime is 11314144141327.

11314144141311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11314144141311 - 2¹ = 11314144141309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314144141301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782941 + ... + 4820921.

It is an arithmetic number, because the mean of its divisors is an integer number (518089242528).

Almost surely, 2^{11314144141311} is an apocalyptic number.

11314144141311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11314144141311 is a deficient number, since it is larger than the sum of its proper divisors (5264711619585).

11314144141311 is a wasteful number, since it uses less digits than its factorization.

11314144141311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038623.

The product of its digits is 2304, while the sum is 30.

It can be divided in two parts, 1131414 and 4141311, that added together give a palindrome (5272725).

The spelling of 11314144141311 in words is "eleven trillion, three hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, three hundred eleven".