13530104000 has 224 divisors, whose sum is σ = 38467613184. Its totient is φ = 4617907200.

The previous prime is 13530103949. The next prime is 13530104009. The reversal of 13530104000 is 40103531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 13530104000.

It is not an unprimeable number, because it can be changed into a prime (13530104009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17191607 + ... + 17192393.

It is an arithmetic number, because the mean of its divisors is an integer number (171730416).

Almost surely, 2^13530104000 is an apocalyptic number.

13530104000 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 13530104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233806592).

13530104000 is an abundant number, since it is smaller than the sum of its proper divisors (24937509184).

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

13530104000 is an equidigital number, since it uses as much as digits as its factorization.

13530104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 13530104000 its reverse (40103531), we get a palindrome (13570207531).

The spelling of 13530104000 in words is "thirteen billion, five hundred thirty million, one hundred four thousand".