13553004102000 has 320 divisors, whose sum is σ = 47676732779520. Its totient is φ = 3284916096000.

The previous prime is 13553004101947. The next prime is 13553004102059. The reversal of 13553004102000 is 20140035531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381660246 + ... + 381695754.

It is an arithmetic number, because the mean of its divisors is an integer number (148989789936).

Almost surely, 2^{13553004102000} is an apocalyptic number.

13553004102000 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 13553004102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838366389760).

13553004102000 is an abundant number, since it is smaller than the sum of its proper divisors (34123728677520).

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

13553004102000 is a wasteful number, since it uses less digits than its factorization.

13553004102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41329 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13553004102000 its reverse (20140035531), we get a palindrome (13573144137531).

The spelling of 13553004102000 in words is "thirteen trillion, five hundred fifty-three billion, four million, one hundred two thousand".