13004041200000 has 768 divisors, whose sum is σ = 47191359559680. Its totient is φ = 3158323200000.

The previous prime is 13004041199993. The next prime is 13004041200011. The reversal of 13004041200000 is 214040031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632389719 + ... + 632410281.

It is an arithmetic number, because the mean of its divisors is an integer number (61447082760).

Almost surely, 2^{13004041200000} is an apocalyptic number.

13004041200000 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 13004041200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595679779840).

13004041200000 is an abundant number, since it is smaller than the sum of its proper divisors (34187318359680).

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

13004041200000 is an equidigital number, since it uses as much as digits as its factorization.

13004041200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20653 (or 20621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13004041200000 its reverse (214040031), we get a palindrome (13004255240031).

The spelling of 13004041200000 in words is "thirteen trillion, four billion, forty-one million, two hundred thousand".