13032303222400 has 384 divisors, whose sum is σ = 40158618255360. Its totient is φ = 4059910041600.

The previous prime is 13032303222373. The next prime is 13032303222431. The reversal of 13032303222400 is 422230323031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514224129 + ... + 514249471.

It is an arithmetic number, because the mean of its divisors is an integer number (104579735040).

Almost surely, 2^{13032303222400} is an apocalyptic number.

13032303222400 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 13032303222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079309127680).

13032303222400 is an abundant number, since it is smaller than the sum of its proper divisors (27126315032960).

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

13032303222400 is a wasteful number, since it uses less digits than its factorization.

13032303222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27472 (or 27455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 13032303222400 its reverse (422230323031), we get a palindrome (13454533545431).

The spelling of 13032303222400 in words is "thirteen trillion, thirty-two billion, three hundred three million, two hundred twenty-two thousand, four hundred".