100311112013 has 32 divisors (see below), whose sum is σ = 120970149888. Its totient is φ = 81360936000.

The previous prime is 100311112003. The next prime is 100311112019. The reversal of 100311112013 is 310211113001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100311112013 - 2⁸ = 100311111757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12612188 + ... + 12620138.

It is an arithmetic number, because the mean of its divisors is an integer number (3780317184).

Almost surely, 2^100311112013 is an apocalyptic number.

It is an amenable number.

100311112013 is a deficient number, since it is larger than the sum of its proper divisors (20659037875).

100311112013 is a wasteful number, since it uses less digits than its factorization.

100311112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273.

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

Adding to 100311112013 its reverse (310211113001), we get a palindrome (410522225014).

The spelling of 100311112013 in words is "one hundred billion, three hundred eleven million, one hundred twelve thousand, thirteen".