10000001010011 has 2 divisors, whose sum is σ = 10000001010012. Its totient is φ = 10000001010010.

The previous prime is 10000001009981. The next prime is 10000001010071. The reversal of 10000001010011 is 11001010000001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000001010011 - 2¹⁴ = 10000000993627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000001009977 and 10000001010004.

It is not a weakly prime, because it can be changed into another prime (10000001010071) 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 as a sum of consecutive naturals, namely, 5000000505005 + 5000000505006.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000505006).

Almost surely, 2^{10000001010011} is an apocalyptic number.

10000001010011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001010011 is an equidigital number, since it uses as much as digits as its factorization.

10000001010011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10000001010011 its reverse (11001010000001), we get a palindrome (21001011010012).

The spelling of 10000001010011 in words is "ten trillion, one million, ten thousand, eleven".