13250314400 has 216 divisors, whose sum is σ = 33919391520. Its totient is φ = 5052774400.

The previous prime is 13250314391. The next prime is 13250314423. The reversal of 13250314400 is 441305231.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79343117 + ... + 79343283.

It is an arithmetic number, because the mean of its divisors is an integer number (157034220).

Almost surely, 2^13250314400 is an apocalyptic number.

13250314400 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 13250314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959695760).

13250314400 is an abundant number, since it is smaller than the sum of its proper divisors (20669077120).

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

13250314400 is a wasteful number, since it uses less digits than its factorization.

13250314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13250314400 its reverse (441305231), we get a palindrome (13691619631).

The spelling of 13250314400 in words is "thirteen billion, two hundred fifty million, three hundred fourteen thousand, four hundred".