10031113344 has 128 divisors (see below), whose sum is σ = 30484454400. Its totient is φ = 2862941184.

The previous prime is 10031113343. The next prime is 10031113373. The reversal of 10031113344 is 44331113001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10031113344.

It is not an unprimeable number, because it can be changed into a prime (10031113343) 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, 3888247 + ... + 3890825.

It is an arithmetic number, because the mean of its divisors is an integer number (238159800).

Almost surely, 2^10031113344 is an apocalyptic number.

10031113344 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 10031113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242227200).

10031113344 is an abundant number, since it is smaller than the sum of its proper divisors (20453341056).

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

10031113344 is a wasteful number, since it uses less digits than its factorization.

10031113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10031113344 its reverse (44331113001), we get a palindrome (54362226345).

The spelling of 10031113344 in words is "ten billion, thirty-one million, one hundred thirteen thousand, three hundred forty-four".