13323303133200 has 240 divisors, whose sum is σ = 47425128585600. Its totient is φ = 3552578265600.

The previous prime is 13323303133193. The next prime is 13323303133201. The reversal of 13323303133200 is 233130332331.

13323303133200 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 330 + 3 + 1 + 3 + 320 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13323303133201) 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, 145419405 + ... + 145510995.

It is an arithmetic number, because the mean of its divisors is an integer number (197604702440).

Almost surely, 2^{13323303133200} is an apocalyptic number.

13323303133200 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 13323303133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712564292800).

13323303133200 is an abundant number, since it is smaller than the sum of its proper divisors (34101825452400).

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

13323303133200 is a wasteful number, since it uses less digits than its factorization.

13323303133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105087 (or 105070 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13323303133200 its reverse (233130332331), we get a palindrome (13556433465531).

The spelling of 13323303133200 in words is "thirteen trillion, three hundred twenty-three billion, three hundred three million, one hundred thirty-three thousand, two hundred".