100013211113 has 8 divisors (see below), whose sum is σ = 101145972360. Its totient is φ = 98883244800.

The previous prime is 100013211019. The next prime is 100013211119. The reversal of 100013211113 is 311112310001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5073427984 + 94939783129 = 71228^2 + 308123^2 .

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 100013211113 - 2¹² = 100013207017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013211119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626720 + ... + 769937.

It is an arithmetic number, because the mean of its divisors is an integer number (12643246545).

Almost surely, 2^100013211113 is an apocalyptic number.

It is an amenable number.

100013211113 is a deficient number, since it is larger than the sum of its proper divisors (1132761247).

100013211113 is a wasteful number, since it uses less digits than its factorization.

100013211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397467.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100013211113 its reverse (311112310001), we get a palindrome (411125521114).

The spelling of 100013211113 in words is "one hundred billion, thirteen million, two hundred eleven thousand, one hundred thirteen".