10111111000011 has 64 divisors (see below), whose sum is σ = 17152862745600. Its totient is φ = 5766472166400.

The previous prime is 10111110999967. The next prime is 10111111000021. The reversal of 10111111000011 is 11000011111101.

It is not a de Polignac number, because 10111111000011 - 2¹⁰ = 10111110998987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111110999957 and 10111111000002.

It is not an unprimeable number, because it can be changed into a prime (10111111000021) 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, 301187035 + ... + 301220603.

It is an arithmetic number, because the mean of its divisors is an integer number (268013480400).

Almost surely, 2^{10111111000011} is an apocalyptic number.

10111111000011 is a deficient number, since it is larger than the sum of its proper divisors (7041751745589).

10111111000011 is a wasteful number, since it uses less digits than its factorization.

10111111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36657 (or 36651 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111111000011 its reverse (11000011111101), we get a palindrome (21111122111112).

The spelling of 10111111000011 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, eleven", and thus it is an aban number.