11110110311311 has 16 divisors (see below), whose sum is σ = 12415513697280. Its totient is φ = 9856438252480.

The previous prime is 11110110311141. The next prime is 11110110311327. The reversal of 11110110311311 is 11311301101111.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11110110311311 is a prime.

It is a super-2 number, since 2×11110110311311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110110311011) 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 15 ways as a sum of consecutive naturals, for example, 62388511 + ... + 62566336.

It is an arithmetic number, because the mean of its divisors is an integer number (775969606080).

Almost surely, 2^{11110110311311} is an apocalyptic number.

11110110311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11110110311311 is a deficient number, since it is larger than the sum of its proper divisors (1305403385969).

11110110311311 is a wasteful number, since it uses less digits than its factorization.

11110110311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124955054.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 11110110311311 its reverse (11311301101111), we get a palindrome (22421411412422).

The spelling of 11110110311311 in words is "eleven trillion, one hundred ten billion, one hundred ten million, three hundred eleven thousand, three hundred eleven".