13322400100400 has 30 divisors (see below), whose sum is σ = 32007066242172. Its totient is φ = 5328960040000.

The previous prime is 13322400100393. The next prime is 13322400100403. The reversal of 13322400100400 is 400100422331.

13322400100400 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 not an unprimeable number, because it can be changed into a prime (13322400100403) 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, 16652999726 + ... + 16653000525.

Almost surely, 2^{13322400100400} is an apocalyptic number.

13322400100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322400100400 is an abundant number, since it is smaller than the sum of its proper divisors (18684666141772).

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

13322400100400 is a wasteful number, since it uses less digits than its factorization.

13322400100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33306000269 (or 33306000258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13322400100400 its reverse (400100422331), we get a palindrome (13722500522731).

The spelling of 13322400100400 in words is "thirteen trillion, three hundred twenty-two billion, four hundred million, one hundred thousand, four hundred".