13003324400000 has 384 divisors, whose sum is σ = 36277946500320. Its totient is φ = 4600627200000.

The previous prime is 13003324399991. The next prime is 13003324400009. The reversal of 13003324400000 is 442330031.

It is an interprime number because it is at equal distance from previous prime (13003324399991) and next prime (13003324400009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003324400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162760064 + ... + 162839936.

Almost surely, 2^{13003324400000} is an apocalyptic number.

13003324400000 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 13003324400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138973250160).

13003324400000 is an abundant number, since it is smaller than the sum of its proper divisors (23274622100320).

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

13003324400000 is an frugal number, since it uses more digits than its factorization.

13003324400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79960 (or 79928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13003324400000 its reverse (442330031), we get a palindrome (13003766730031).

The spelling of 13003324400000 in words is "thirteen trillion, three billion, three hundred twenty-four million, four hundred thousand".