100013310013 has 2 divisors, whose sum is σ = 100013310014. Its totient is φ = 100013310012.

The previous prime is 100013309989. The next prime is 100013310053. The reversal of 100013310013 is 310013310001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99626715769 + 386594244 = 315637^2 + 19662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013310013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100013309975 and 100013310002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013310053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006655006 + 50006655007.

It is an arithmetic number, because the mean of its divisors is an integer number (50006655007).

Almost surely, 2^100013310013 is an apocalyptic number.

It is an amenable number.

100013310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013310013 is an equidigital number, since it uses as much as digits as its factorization.

100013310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 100013310013 its reverse (310013310001), we get a palindrome (410026620014).

The spelling of 100013310013 in words is "one hundred billion, thirteen million, three hundred ten thousand, thirteen".