13331041400 has 48 divisors (see below), whose sum is σ = 31002498600. Its totient is φ = 5331070080.

The previous prime is 13331041369. The next prime is 13331041403. The reversal of 13331041400 is 414013331.

13331041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331041403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269371 + ... + 1279829.

Almost surely, 2^13331041400 is an apocalyptic number.

13331041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331041400 is an abundant number, since it is smaller than the sum of its proper divisors (17671457200).

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

13331041400 is a wasteful number, since it uses less digits than its factorization.

13331041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16848 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13331041400 its reverse (414013331), we get a palindrome (13745054731).

The spelling of 13331041400 in words is "thirteen billion, three hundred thirty-one million, forty-one thousand, four hundred".