1000110110011 has 8 divisors (see below), whose sum is σ = 1010590697520. Its totient is φ = 989658120192.

The previous prime is 1000110109991. The next prime is 1000110110023. The reversal of 1000110110011 is 1100110110001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000110110011 - 2³³ = 991520175419 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000110109976 and 1000110110003.

It is not an unprimeable number, because it can be changed into a prime (1000110810011) 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 7 ways as a sum of consecutive naturals, for example, 7079110 + ... + 7219003.

It is an arithmetic number, because the mean of its divisors is an integer number (126323837190).

Almost surely, 2^{1000110110011} is an apocalyptic number.

1000110110011 is a deficient number, since it is larger than the sum of its proper divisors (10480587509).

1000110110011 is a wasteful number, since it uses less digits than its factorization.

1000110110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298845.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000110110011 its reverse (1100110110001), we get a palindrome (2100220220012).

It can be divided in two parts, 1000 and 110110011, that added together give a palindrome (110111011).

The spelling of 1000110110011 in words is "one trillion, one hundred ten million, one hundred ten thousand, eleven".