13133200320 has 252 divisors, whose sum is σ = 46440556344. Its totient is φ = 3406510080.

The previous prime is 13133200291. The next prime is 13133200321. The reversal of 13133200320 is 2300233131.

13133200320 is a `hidden beast` number, since 1 + 313 + 32 + 0 + 0 + 320 = 666.

13133200320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13133200293 and 13133200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133200321) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3941055 + ... + 3944385.

It is an arithmetic number, because the mean of its divisors is an integer number (184287922).

Almost surely, 2^13133200320 is an apocalyptic number.

13133200320 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 13133200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23220278172).

13133200320 is an abundant number, since it is smaller than the sum of its proper divisors (33307356024).

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

13133200320 is a wasteful number, since it uses less digits than its factorization.

13133200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13133200320 its reverse (2300233131), we get a palindrome (15433433451).

The spelling of 13133200320 in words is "thirteen billion, one hundred thirty-three million, two hundred thousand, three hundred twenty".