13430033323000 has 256 divisors, whose sum is σ = 36119166969600. Its totient is φ = 4578567782400.

The previous prime is 13430033322967. The next prime is 13430033323001. The reversal of 13430033323000 is 32333003431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430033323001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066800706 + ... + 1066813294.

It is an arithmetic number, because the mean of its divisors is an integer number (141090495975).

Almost surely, 2^{13430033323000} is an apocalyptic number.

13430033323000 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 13430033323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059583484800).

13430033323000 is an abundant number, since it is smaller than the sum of its proper divisors (22689133646600).

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

13430033323000 is a wasteful number, since it uses less digits than its factorization.

13430033323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 13430033323000 its reverse (32333003431), we get a palindrome (13462366326431).

The spelling of 13430033323000 in words is "thirteen trillion, four hundred thirty billion, thirty-three million, three hundred twenty-three thousand".