13331204221400 has 48 divisors (see below), whose sum is σ = 33379284422400. Its totient is φ = 4922290788480.

The previous prime is 13331204221399. The next prime is 13331204221409. The reversal of 13331204221400 is 412240213331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13331204221400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331204221409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2563690520 + ... + 2563695719.

It is an arithmetic number, because the mean of its divisors is an integer number (695401758800).

Almost surely, 2^{13331204221400} is an apocalyptic number.

13331204221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331204221400 is an abundant number, since it is smaller than the sum of its proper divisors (20048080201000).

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

13331204221400 is a wasteful number, since it uses less digits than its factorization.

13331204221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127386268 (or 5127386259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13331204221400 its reverse (412240213331), we get a palindrome (13743444434731).

The spelling of 13331204221400 in words is "thirteen trillion, three hundred thirty-one billion, two hundred four million, two hundred twenty-one thousand, four hundred".