100113030312 has 128 divisors (see below), whose sum is σ = 262104057600. Its totient is φ = 31836561408.

The previous prime is 100113030299. The next prime is 100113030313. The reversal of 100113030312 is 213030311001.

It is a junction number, because it is equal to n+sod(n) for n = 100113030291 and 100113030300.

It is not an unprimeable number, because it can be changed into a prime (100113030313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9383493 + ... + 9394155.

It is an arithmetic number, because the mean of its divisors is an integer number (2047687950).

Almost surely, 2^100113030312 is an apocalyptic number.

100113030312 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 100113030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131052028800).

100113030312 is an abundant number, since it is smaller than the sum of its proper divisors (161991027288).

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

100113030312 is a wasteful number, since it uses less digits than its factorization.

100113030312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915 (or 10911 counting only the distinct ones).

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

Adding to 100113030312 its reverse (213030311001), we get a palindrome (313143341313).

The spelling of 100113030312 in words is "one hundred billion, one hundred thirteen million, thirty thousand, three hundred twelve".