110001111000011 has 64 divisors (see below), whose sum is σ = 140712062423040. Its totient is φ = 83503045570560.

The previous prime is 110001110999953. The next prime is 110001111000091. The reversal of 110001111000011 is 110000111100011.

It is a de Polignac number, because none of the positive numbers 2^k-110001111000011 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110001111000091) 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, 711494105 + ... + 711648693.

It is an arithmetic number, because the mean of its divisors is an integer number (2198625975360).

Almost surely, 2^{110001111000011} is an apocalyptic number.

110001111000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001111000011 is a deficient number, since it is larger than the sum of its proper divisors (30710951423029).

110001111000011 is a wasteful number, since it uses less digits than its factorization.

110001111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155564.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110001111000011 its reverse (110000111100011), we get a palindrome (220001222100022).

It can be divided in two parts, 1100011 and 11000011, that multiplied together give a palindrome (12100133100121).

The spelling of 110001111000011 in words is "one hundred ten trillion, one billion, one hundred eleven million, eleven", and thus it is an aban number.