13322120133300 has 288 divisors, whose sum is σ = 43204172089344. Its totient is φ = 3140990784000.

The previous prime is 13322120133271. The next prime is 13322120133323. The reversal of 13322120133300 is 333102122331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305594505 + ... + 305638095.

Almost surely, 2^{13322120133300} is an apocalyptic number.

13322120133300 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 13322120133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602086044672).

13322120133300 is an abundant number, since it is smaller than the sum of its proper divisors (29882051956044).

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

13322120133300 is a wasteful number, since it uses less digits than its factorization.

13322120133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46159 (or 46152 counting only the distinct ones).

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

Adding to 13322120133300 its reverse (333102122331), we get a palindrome (13655222255631).

The spelling of 13322120133300 in words is "thirteen trillion, three hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, three hundred".