100013031312 has 80 divisors (see below), whose sum is σ = 262017575040. Its totient is φ = 32869472256.

The previous prime is 100013031259. The next prime is 100013031319. The reversal of 100013031312 is 213130310001.

It is a junction number, because it is equal to n+sod(n) for n = 100013031291 and 100013031300.

It is not an unprimeable number, because it can be changed into a prime (100013031319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088008 + ... + 1176344.

It is an arithmetic number, because the mean of its divisors is an integer number (3275219688).

Almost surely, 2^100013031312 is an apocalyptic number.

100013031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131008787520).

100013031312 is an abundant number, since it is smaller than the sum of its proper divisors (162004543728).

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

100013031312 is a wasteful number, since it uses less digits than its factorization.

100013031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88680 (or 88674 counting only the distinct ones).

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

Adding to 100013031312 its reverse (213130310001), we get a palindrome (313143341313).

The spelling of 100013031312 in words is "one hundred billion, thirteen million, thirty-one thousand, three hundred twelve".