13004405200 has 120 divisors (see below), whose sum is σ = 31800950720. Its totient is φ = 5109350400.

The previous prime is 13004405191. The next prime is 13004405209. The reversal of 13004405200 is 250440031.

It is an interprime number because it is at equal distance from previous prime (13004405191) and next prime (13004405209).

It is a super-2 number, since 2×13004405200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004405209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16910416 + ... + 16911184.

Almost surely, 2^13004405200 is an apocalyptic number.

13004405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900475360).

13004405200 is an abundant number, since it is smaller than the sum of its proper divisors (18796545520).

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

13004405200 is a wasteful number, since it uses less digits than its factorization.

13004405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 13004405200 its reverse (250440031), we get a palindrome (13254845231).

The spelling of 13004405200 in words is "thirteen billion, four million, four hundred five thousand, two hundred".