13352100403500 has 1152 divisors, whose sum is σ = 47414549145600. Its totient is φ = 3147314227200.

The previous prime is 13352100403487. The next prime is 13352100403507. The reversal of 13352100403500 is 530400125331.

13352100403500 is a `hidden beast` number, since 1 + 3 + 3 + 52 + 100 + 4 + 0 + 3 + 500 = 666.

It is not an unprimeable number, because it can be changed into a prime (13352100403507) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18215689134 + ... + 18215689866.

It is an arithmetic number, because the mean of its divisors is an integer number (41158462800).

Almost surely, 2^{13352100403500} is an apocalyptic number.

13352100403500 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 13352100403500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23707274572800).

13352100403500 is an abundant number, since it is smaller than the sum of its proper divisors (34062448742100).

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

13352100403500 is a wasteful number, since it uses less digits than its factorization.

13352100403500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13352100403500 its reverse (530400125331), we get a palindrome (13882500528831).

The spelling of 13352100403500 in words is "thirteen trillion, three hundred fifty-two billion, one hundred million, four hundred three thousand, five hundred".