13322001133320 has 384 divisors, whose sum is σ = 44439442024320. Its totient is φ = 3192200704000.

The previous prime is 13322001133319. The next prime is 13322001133327. The reversal of 13322001133320 is 2333110022331.

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

It is not an unprimeable number, because it can be changed into a prime (13322001133327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 904835479 + ... + 904850201.

It is an arithmetic number, because the mean of its divisors is an integer number (115727713605).

Almost surely, 2^{13322001133320} is an apocalyptic number.

13322001133320 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 13322001133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219721012160).

13322001133320 is an abundant number, since it is smaller than the sum of its proper divisors (31117440891000).

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

13322001133320 is a wasteful number, since it uses less digits than its factorization.

13322001133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15477 (or 15462 counting only the distinct ones).

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

13322001133320 divided by its sum of digits (24) gives a palindrome (555083380555).

Adding to 13322001133320 its reverse (2333110022331), we get a palindrome (15655111155651).

The spelling of 13322001133320 in words is "thirteen trillion, three hundred twenty-two billion, one million, one hundred thirty-three thousand, three hundred twenty".