13124332800 has 756 divisors, whose sum is σ = 50903786220. Its totient is φ = 3344302080.

The previous prime is 13124332787. The next prime is 13124332831. The reversal of 13124332800 is 823342131.

It can be written as a sum of positive squares in 6 ways, for example, as 313714944 + 12810617856 = 17712^2 + 113184^2 .

It is a super-3 number, since 3×13124332800³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 135302352 + ... + 135302448.

Almost surely, 2^13124332800 is an apocalyptic number.

13124332800 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 13124332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451893110).

13124332800 is an abundant number, since it is smaller than the sum of its proper divisors (37779453420).

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

13124332800 is an frugal number, since it uses more digits than its factorization.

13124332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13124332800 its reverse (823342131), we get a palindrome (13947674931).

The spelling of 13124332800 in words is "thirteen billion, one hundred twenty-four million, three hundred thirty-two thousand, eight hundred".