10113441312 has 96 divisors (see below), whose sum is σ = 28759691520. Its totient is φ = 3111763200.

The previous prime is 10113441307. The next prime is 10113441313. The reversal of 10113441312 is 21314431101.

10113441312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10113441313) 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 15 ways as a sum of consecutive naturals, for example, 186937 + ... + 234887.

It is an arithmetic number, because the mean of its divisors is an integer number (299580120).

Almost surely, 2^10113441312 is an apocalyptic number.

10113441312 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 10113441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379845760).

10113441312 is an abundant number, since it is smaller than the sum of its proper divisors (18646250208).

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

10113441312 is an equidigital number, since it uses as much as digits as its factorization.

10113441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48003 (or 47969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10113441312 its reverse (21314431101), we get a palindrome (31427872413).

It can be divided in two parts, 10113441 and 312, that added together give a triangular number (10113753 = T₄₄₉₇).

The spelling of 10113441312 in words is "ten billion, one hundred thirteen million, four hundred forty-one thousand, three hundred twelve".