100013100013 has 16 divisors (see below), whose sum is σ = 102099284352. Its totient is φ = 97950600000.

The previous prime is 100013100007. The next prime is 100013100043. The reversal of 100013100013 is 310001310001.

It is a cyclic number.

It is not a de Polignac number, because 100013100013 - 2²⁵ = 99979545581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013100043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096363 + ... + 10106263.

It is an arithmetic number, because the mean of its divisors is an integer number (6381205272).

Almost surely, 2^100013100013 is an apocalyptic number.

It is an amenable number.

100013100013 is a deficient number, since it is larger than the sum of its proper divisors (2086184339).

100013100013 is a wasteful number, since it uses less digits than its factorization.

100013100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100013100013 its reverse (310001310001), we get a palindrome (410014410014).

It can be divided in two parts, 10001310001 and 3, that multiplied together give a palindrome (30003930003).

The spelling of 100013100013 in words is "one hundred billion, thirteen million, one hundred thousand, thirteen".