10111000010011 has 16 divisors (see below), whose sum is σ = 10480193821440. Its totient is φ = 9743180297760.

The previous prime is 10111000010009. The next prime is 10111000010053. The reversal of 10111000010011 is 11001000011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111000010011 - 2¹ = 10111000010009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111000009976 and 10111000010003.

It is not an unprimeable number, because it can be changed into a prime (10111000010311) 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 15 ways as a sum of consecutive naturals, for example, 129577570 + ... + 129655576.

It is an arithmetic number, because the mean of its divisors is an integer number (655012113840).

Almost surely, 2^{10111000010011} is an apocalyptic number.

10111000010011 is a deficient number, since it is larger than the sum of its proper divisors (369193811429).

10111000010011 is an equidigital number, since it uses as much as digits as its factorization.

10111000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86754.

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

Adding to 10111000010011 its reverse (11001000011101), we get a palindrome (21112000021112).

The spelling of 10111000010011 in words is "ten trillion, one hundred eleven billion, ten thousand, eleven".