100103332113 has 16 divisors (see below), whose sum is σ = 156106561600. Its totient is φ = 63223156800.

The previous prime is 100103332111. The next prime is 100103332129. The reversal of 100103332113 is 311233301001.

It is a happy number.

It is not a de Polignac number, because 100103332113 - 2¹ = 100103332111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103332111) 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 15 ways as a sum of consecutive naturals, for example, 97566088 + ... + 97567113.

It is an arithmetic number, because the mean of its divisors is an integer number (9756660100).

Almost surely, 2^100103332113 is an apocalyptic number.

It is an amenable number.

100103332113 is a deficient number, since it is larger than the sum of its proper divisors (56003229487).

100103332113 is a wasteful number, since it uses less digits than its factorization.

100103332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195133229 (or 195133223 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100103332113 its reverse (311233301001), we get a palindrome (411336633114).

The spelling of 100103332113 in words is "one hundred billion, one hundred three million, three hundred thirty-two thousand, one hundred thirteen".