13004512320400 has 30 divisors (see below), whose sum is σ = 31243340850722. Its totient is φ = 5201804928000.

The previous prime is 13004512320391. The next prime is 13004512320413. The reversal of 13004512320400 is 402321540031.

It can be written as a sum of positive squares in 3 ways, for example, as 48745574656 + 12955766745744 = 220784^2 + 3599412^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16255640001 + ... + 16255640800.

Almost surely, 2^{13004512320400} is an apocalyptic number.

13004512320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004512320400 is an abundant number, since it is smaller than the sum of its proper divisors (18238828530322).

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

13004512320400 is a wasteful number, since it uses less digits than its factorization.

13004512320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32511280819 (or 32511280808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13004512320400 its reverse (402321540031), we get a palindrome (13406833860431).

The spelling of 13004512320400 in words is "thirteen trillion, four billion, five hundred twelve million, three hundred twenty thousand, four hundred".