13331043330400 has 36 divisors (see below), whose sum is σ = 32544409532292. Its totient is φ = 5332417331840.

The previous prime is 13331043330383. The next prime is 13331043330403. The reversal of 13331043330400 is 403334013331.

It is a super-3 number, since 3×13331043330400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331043330403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8331901282 + ... + 8331902881.

It is an arithmetic number, because the mean of its divisors is an integer number (904011375897).

Almost surely, 2^{13331043330400} is an apocalyptic number.

13331043330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331043330400 is an abundant number, since it is smaller than the sum of its proper divisors (19213366201892).

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

13331043330400 is a wasteful number, since it uses less digits than its factorization.

13331043330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16663804183 (or 16663804170 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13331043330400 its reverse (403334013331), we get a palindrome (13734377343731).

The spelling of 13331043330400 in words is "thirteen trillion, three hundred thirty-one billion, forty-three million, three hundred thirty thousand, four hundred".