1013344000 has 72 divisors (see below), whose sum is σ = 2524446288. Its totient is φ = 405324800.

The previous prime is 1013343983. The next prime is 1013344001. The reversal of 1013344000 is 4433101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16167 + ... + 47833.

It is an arithmetic number, because the mean of its divisors is an integer number (35061754).

Almost surely, 2^1013344000 is an apocalyptic number.

1013344000 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 1013344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262223144).

1013344000 is an abundant number, since it is smaller than the sum of its proper divisors (1511102288).

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

1013344000 is an frugal number, since it uses more digits than its factorization.

1013344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31698 (or 31674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013344000 is about 31833.0645712913. The cubic root of 1013344000 is about 1004.4283606745.

Adding to 1013344000 its reverse (4433101), we get a palindrome (1017777101).

The spelling of 1013344000 in words is "one billion, thirteen million, three hundred forty-four thousand".