13253141200 has 120 divisors (see below), whose sum is σ = 34704216288. Its totient is φ = 4834352640.

The previous prime is 13253141189. The next prime is 13253141219. The reversal of 13253141200 is 214135231.

It is a happy number.

13253141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416247 + ... + 446953.

Almost surely, 2^13253141200 is an apocalyptic number.

13253141200 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 13253141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352108144).

13253141200 is an abundant number, since it is smaller than the sum of its proper divisors (21451075088).

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

13253141200 is a wasteful number, since it uses less digits than its factorization.

13253141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30821 (or 30810 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 13253141200 its reverse (214135231), we get a palindrome (13467276431).

The spelling of 13253141200 in words is "thirteen billion, two hundred fifty-three million, one hundred forty-one thousand, two hundred".