13530501221200 has 30 divisors (see below), whose sum is σ = 32507029184894. Its totient is φ = 5412200488320.

The previous prime is 13530501221191. The next prime is 13530501221233. The reversal of 13530501221200 is 212210503531.

It can be written as a sum of positive squares in 3 ways, for example, as 1168413988624 + 12362087232576 = 1080932^2 + 3515976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16913126127 + ... + 16913126926.

Almost surely, 2^{13530501221200} is an apocalyptic number.

13530501221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530501221200 is an abundant number, since it is smaller than the sum of its proper divisors (18976527963694).

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

13530501221200 is a wasteful number, since it uses less digits than its factorization.

13530501221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33826253071 (or 33826253060 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 13530501221200 its reverse (212210503531), we get a palindrome (13742711724731).

The spelling of 13530501221200 in words is "thirteen trillion, five hundred thirty billion, five hundred one million, two hundred twenty-one thousand, two hundred".