13023244800 has 720 divisors, whose sum is σ = 49868058240. Its totient is φ = 3364208640.

The previous prime is 13023244789. The next prime is 13023244807. The reversal of 13023244800 is 844232031.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023244807) 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 71 ways as a sum of consecutive naturals, for example, 164851161 + ... + 164851239.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^13023244800 is an apocalyptic number.

13023244800 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 13023244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

13023244800 is an abundant number, since it is smaller than the sum of its proper divisors (36844813440).

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

13023244800 is an frugal number, since it uses more digits than its factorization.

13023244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13023244800 its reverse (844232031), we get a palindrome (13867476831).

The spelling of 13023244800 in words is "thirteen billion, twenty-three million, two hundred forty-four thousand, eight hundred".