13243234400 has 288 divisors, whose sum is σ = 37460102400. Its totient is φ = 4524185600.

The previous prime is 13243234393. The next prime is 13243234427. The reversal of 13243234400 is 443234231.

It is a self number, because there is not a number n which added to its sum of digits gives 13243234400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11941046 + ... + 11942154.

It is an arithmetic number, because the mean of its divisors is an integer number (130069800).

Almost surely, 2^13243234400 is an apocalyptic number.

13243234400 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 13243234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18730051200).

13243234400 is an abundant number, since it is smaller than the sum of its proper divisors (24216868000).

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

13243234400 is a wasteful number, since it uses less digits than its factorization.

13243234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13243234400 its reverse (443234231), we get a palindrome (13686468631).

The spelling of 13243234400 in words is "thirteen billion, two hundred forty-three million, two hundred thirty-four thousand, four hundred".