13145321133200 has 120 divisors (see below), whose sum is σ = 32746593417216. Its totient is φ = 5065691904000.

The previous prime is 13145321133187. The next prime is 13145321133221. The reversal of 13145321133200 is 233112354131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388280 + ... + 5142120.

Almost surely, 2^{13145321133200} is an apocalyptic number.

13145321133200 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 13145321133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373296708608).

13145321133200 is an abundant number, since it is smaller than the sum of its proper divisors (19601272284016).

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

13145321133200 is a wasteful number, since it uses less digits than its factorization.

13145321133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754113 (or 4754102 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 13145321133200 its reverse (233112354131), we get a palindrome (13378433487331).

The spelling of 13145321133200 in words is "thirteen trillion, one hundred forty-five billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".