13320311323200 has 336 divisors, whose sum is σ = 49955349033984. Its totient is φ = 3044001024000.

The previous prime is 13320311323141. The next prime is 13320311323237. The reversal of 13320311323200 is 232311302331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×13320311323200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169674357 + ... + 169752843.

Almost surely, 2^{13320311323200} is an apocalyptic number.

13320311323200 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 13320311323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24977674516992).

13320311323200 is an abundant number, since it is smaller than the sum of its proper divisors (36635037710784).

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

13320311323200 is a wasteful number, since it uses less digits than its factorization.

13320311323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83570 (or 83555 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13320311323200 its reverse (232311302331), we get a palindrome (13552622625531).

The spelling of 13320311323200 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, three hundred twenty-three thousand, two hundred".