100013103312 has 20 divisors (see below), whose sum is σ = 258367183680. Its totient is φ = 33337701088.

The previous prime is 100013103293. The next prime is 100013103341. The reversal of 100013103312 is 213301310001.

It is a junction number, because it is equal to n+sod(n) for n = 100013103291 and 100013103300.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1041803112 + ... + 1041803207.

It is an arithmetic number, because the mean of its divisors is an integer number (12918359184).

Almost surely, 2^100013103312 is an apocalyptic number.

100013103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100013103312 is an abundant number, since it is smaller than the sum of its proper divisors (158354080368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100013103312 is a wasteful number, since it uses less digits than its factorization.

100013103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083606330 (or 2083606324 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100013103312 its reverse (213301310001), we get a palindrome (313314413313).

The spelling of 100013103312 in words is "one hundred billion, thirteen million, one hundred three thousand, three hundred twelve".