10131110444 has 144 divisors (see below), whose sum is σ = 23142127680. Its totient is φ = 3841850880.

The previous prime is 10131110443. The next prime is 10131110447. The reversal of 10131110444 is 44401113101.

It is not an unprimeable number, because it can be changed into a prime (10131110443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12339554 + ... + 12340374.

It is an arithmetic number, because the mean of its divisors is an integer number (160709220).

Almost surely, 2^10131110444 is an apocalyptic number.

10131110444 is a gapful number since it is divisible by the number (14) 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 10131110444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11571063840).

10131110444 is an abundant number, since it is smaller than the sum of its proper divisors (13011017236).

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

10131110444 is a wasteful number, since it uses less digits than its factorization.

10131110444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10131110444 its reverse (44401113101), we get a palindrome (54532223545).

The spelling of 10131110444 in words is "ten billion, one hundred thirty-one million, one hundred ten thousand, four hundred forty-four".