100013031211 has 8 divisors (see below), whose sum is σ = 106508270304. Its totient is φ = 93585805440.

The previous prime is 100013031199. The next prime is 100013031233. The reversal of 100013031211 is 112130310001.

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 100013031211 - 2¹¹ = 100013029163 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013031191 and 100013031200.

It is not an unprimeable number, because it can be changed into a prime (100013032211) 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, 17000295 + ... + 17006176.

It is an arithmetic number, because the mean of its divisors is an integer number (13313533788).

Almost surely, 2^100013031211 is an apocalyptic number.

100013031211 is a deficient number, since it is larger than the sum of its proper divisors (6495239093).

100013031211 is a wasteful number, since it uses less digits than its factorization.

100013031211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34006661.

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

Adding to 100013031211 its reverse (112130310001), we get a palindrome (212143341212).

The spelling of 100013031211 in words is "one hundred billion, thirteen million, thirty-one thousand, two hundred eleven".