10011000010011 has 256 divisors, whose sum is σ = 19538155929600. Its totient is φ = 4388286067200.

The previous prime is 10011000010009. The next prime is 10011000010093. The reversal of 10011000010011 is 11001000011001.

It is not a de Polignac number, because 10011000010011 - 2¹ = 10011000010009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011000011011) 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 255 ways as a sum of consecutive naturals, for example, 190372920 + ... + 190425498.

It is an arithmetic number, because the mean of its divisors is an integer number (76320921600).

Almost surely, 2^{10011000010011} is an apocalyptic number.

10011000010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011000010011 is a deficient number, since it is larger than the sum of its proper divisors (9527155919589).

10011000010011 is a wasteful number, since it uses less digits than its factorization.

10011000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52750.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011000010011 its reverse (11001000011001), we get a palindrome (21012000021012).

It can be divided in two parts, 100110000 and 10011, that multiplied together give a square (1002201210000 = 1001100²).

The spelling of 10011000010011 in words is "ten trillion, eleven billion, ten thousand, eleven".