10001000010011 has 4 divisors (see below), whose sum is σ = 10011628066224. Its totient is φ = 9990371953800.

The previous prime is 10001000009939. The next prime is 10001000010017. The reversal of 10001000010011 is 11001000010001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10001000010011 - 2³⁸ = 9726122103067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000009977 and 10001000010004.

It is not an unprimeable number, because it can be changed into a prime (10001000010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5314026695 + ... + 5314028576.

It is an arithmetic number, because the mean of its divisors is an integer number (2502907016556).

Almost surely, 2^{10001000010011} is an apocalyptic number.

10001000010011 is a deficient number, since it is larger than the sum of its proper divisors (10628056213).

10001000010011 is an equidigital number, since it uses as much as digits as its factorization.

10001000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628056212.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001000010011 its reverse (11001000010001), we get a palindrome (21002000020012).

The spelling of 10001000010011 in words is "ten trillion, one billion, ten thousand, eleven".