13312444200 has 288 divisors, whose sum is σ = 46932933600. Its totient is φ = 3115481600.

The previous prime is 13312444181. The next prime is 13312444213. The reversal of 13312444200 is 244421331.

It is a super-2 number, since 2×13312444200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2102239 + ... + 2108561.

It is an arithmetic number, because the mean of its divisors is an integer number (162961575).

Almost surely, 2^13312444200 is an apocalyptic number.

13312444200 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 13312444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466466800).

13312444200 is an abundant number, since it is smaller than the sum of its proper divisors (33620489400).

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

13312444200 is a wasteful number, since it uses less digits than its factorization.

13312444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13312444200 its reverse (244421331), we get a palindrome (13556865531).

It can be divided in two parts, 13 and 312444200, that added together give a palindrome (312444213).

The spelling of 13312444200 in words is "thirteen billion, three hundred twelve million, four hundred forty-four thousand, two hundred".