10000000010011 has 32 divisors (see below), whose sum is σ = 11145977265600. Its totient is φ = 8895552583680.

The previous prime is 10000000009969. The next prime is 10000000010047. The reversal of 10000000010011 is 11001000000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000000010011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000000010081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187982205 + ... + 188035393.

It is an arithmetic number, because the mean of its divisors is an integer number (348311789550).

Almost surely, 2^{10000000010011} is an apocalyptic number.

10000000010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000000010011 is a deficient number, since it is larger than the sum of its proper divisors (1145977255589).

10000000010011 is a wasteful number, since it uses less digits than its factorization.

10000000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55119.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10000000010011 its reverse (11001000000001), we get a palindrome (21001000010012).

The spelling of 10000000010011 in words is "ten trillion, ten thousand, eleven".