13333220022300 has 288 divisors, whose sum is σ = 40936318907904. Its totient is φ = 3346342272000.

The previous prime is 13333220022271. The next prime is 13333220022403. The reversal of 13333220022300 is 322002233331.

It is a super-2 number, since 2×13333220022300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 41609695 + ... + 41928905.

It is an arithmetic number, because the mean of its divisors is an integer number (142139996208).

Almost surely, 2^{13333220022300} is an apocalyptic number.

13333220022300 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 13333220022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468159453952).

13333220022300 is an abundant number, since it is smaller than the sum of its proper divisors (27603098885604).

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

13333220022300 is a wasteful number, since it uses less digits than its factorization.

13333220022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319389 (or 319382 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13333220022300 its reverse (322002233331), we get a palindrome (13655222255631).

The spelling of 13333220022300 in words is "thirteen trillion, three hundred thirty-three billion, two hundred twenty million, twenty-two thousand, three hundred".