100013112013 has 8 divisors (see below), whose sum is σ = 100808440832. Its totient is φ = 99217905696.

The previous prime is 100013111953. The next prime is 100013112037. The reversal of 100013112013 is 310211310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100013112013 - 2¹³ = 100013103821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013111984 and 100013112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013112313) 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 7 ways as a sum of consecutive naturals, for example, 2322706 + ... + 2365372.

It is an arithmetic number, because the mean of its divisors is an integer number (12601055104).

Almost surely, 2^100013112013 is an apocalyptic number.

It is an amenable number.

100013112013 is a deficient number, since it is larger than the sum of its proper divisors (795328819).

100013112013 is a wasteful number, since it uses less digits than its factorization.

100013112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61251.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100013112013 its reverse (310211310001), we get a palindrome (410224422014).

The spelling of 100013112013 in words is "one hundred billion, thirteen million, one hundred twelve thousand, thirteen".