11102311320111 has 24 divisors (see below), whose sum is σ = 17494778917200. Its totient is φ = 6728585932800.

The previous prime is 11102311320077. The next prime is 11102311320119.

11102311320111 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 231 + 1 + 320 + 111 = 666.

11102311320111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11102311320111 - 2¹⁰ = 11102311319087 is a prime.

It is a super-2 number, since 2×11102311320111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102311320119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7364271 + ... + 8742831.

It is an arithmetic number, because the mean of its divisors is an integer number (728949121550).

Almost surely, 2^{11102311320111} is an apocalyptic number.

11102311320111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102311320111 is a deficient number, since it is larger than the sum of its proper divisors (6392467597089).

11102311320111 is a wasteful number, since it uses less digits than its factorization.

11102311320111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459927 (or 1459924 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1110231 and 1320111, that added together give a palindrome (2430342).

The spelling of 11102311320111 in words is "eleven trillion, one hundred two billion, three hundred eleven million, three hundred twenty thousand, one hundred eleven".