100001010013 has 2 divisors, whose sum is σ = 100001010014. Its totient is φ = 100001010012.

The previous prime is 100001009993. The next prime is 100001010017. The reversal of 100001010013 is 310010100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97630001764 + 2371008249 = 312458^2 + 48693^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001010013 - 2²¹ = 99998912861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001009978 and 100001010005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001010017) 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, 50000505006 + 50000505007.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505007).

Almost surely, 2^100001010013 is an apocalyptic number.

It is an amenable number.

100001010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001010013 is an equidigital number, since it uses as much as digits as its factorization.

100001010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100001010013 its reverse (310010100001), we get a palindrome (410011110014).

The spelling of 100001010013 in words is "one hundred billion, one million, ten thousand, thirteen".