1111111113311 has 12 divisors (see below), whose sum is σ = 1128888545688. Its totient is φ = 1093571473104.

The previous prime is 1111111113121. The next prime is 1111111113313. The reversal of 1111111113311 is 1133111111111.

It is not a de Polignac number, because 1111111113311 - 2²² = 1111106919007 is a prime.

It is a super-2 number, since 2×1111111113311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1111111113311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408001 + ... + 2050533.

It is an arithmetic number, because the mean of its divisors is an integer number (94074045474).

Almost surely, 2^{1111111113311} is an apocalyptic number.

1111111113311 is a deficient number, since it is larger than the sum of its proper divisors (17777432377).

1111111113311 is an equidigital number, since it uses as much as digits as its factorization.

1111111113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642902 (or 642799 counting only the distinct ones).

The product of its digits is 9, while the sum is 17.

Adding to 1111111113311 its reverse (1133111111111), we get a palindrome (2244222224422).

The spelling of 1111111113311 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred thirteen thousand, three hundred eleven".