13321000200400 has 60 divisors (see below), whose sum is σ = 32442109942732. Its totient is φ = 5255408286720.

The previous prime is 13321000200359. The next prime is 13321000200421. The reversal of 13321000200400 is 400200012331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 602989522576 + 12718010677824 = 776524^2 + 3566232^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228070119 + ... + 228128518.

Almost surely, 2^{13321000200400} is an apocalyptic number.

13321000200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321000200400 is an abundant number, since it is smaller than the sum of its proper divisors (19121109742332).

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

13321000200400 is a wasteful number, since it uses less digits than its factorization.

13321000200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456198728 (or 456198717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13321000200400 its reverse (400200012331), we get a palindrome (13721200212731).

The spelling of 13321000200400 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thousand, four hundred".