10113312100 has 72 divisors (see below), whose sum is σ = 22727295360. Its totient is φ = 3901591680.

The previous prime is 10113312089. The next prime is 10113312101. The reversal of 10113312100 is 121331101.

10113312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10113312101) 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 23 ways as a sum of consecutive naturals, for example, 4589599 + ... + 4591801.

It is an arithmetic number, because the mean of its divisors is an integer number (315656880).

Almost surely, 2^10113312100 is an apocalyptic number.

10113312100 is a gapful number since it is divisible by the number (10) 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 10113312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363647680).

10113312100 is an abundant number, since it is smaller than the sum of its proper divisors (12613983260).

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

10113312100 is a wasteful number, since it uses less digits than its factorization.

10113312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10113312100 its reverse (121331101), we get a palindrome (10234643201).

The spelling of 10113312100 in words is "ten billion, one hundred thirteen million, three hundred twelve thousand, one hundred".