13021320133200 has 240 divisors, whose sum is σ = 42296063025536. Its totient is φ = 3423729254400.

The previous prime is 13021320133189. The next prime is 13021320133201. The reversal of 13021320133200 is 233102312031.

13021320133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13021320133200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021320133201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307542432 + ... + 307584768.

Almost surely, 2^{13021320133200} is an apocalyptic number.

13021320133200 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 13021320133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148031512768).

13021320133200 is an abundant number, since it is smaller than the sum of its proper divisors (29274742892336).

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

13021320133200 is a wasteful number, since it uses less digits than its factorization.

13021320133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45942 (or 45931 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13021320133200 its reverse (233102312031), we get a palindrome (13254422445231).

The spelling of 13021320133200 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, one hundred thirty-three thousand, two hundred".