13244134303400 has 864 divisors, whose sum is σ = 42601388961600. Its totient is φ = 3745437696000.

The previous prime is 13244134303391. The next prime is 13244134303531. The reversal of 13244134303400 is 430343144231.

13244134303400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1689083480 + ... + 1689091320.

It is an arithmetic number, because the mean of its divisors is an integer number (49307163150).

Almost surely, 2^{13244134303400} is an apocalyptic number.

13244134303400 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 13244134303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300694480800).

13244134303400 is an abundant number, since it is smaller than the sum of its proper divisors (29357254658200).

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

13244134303400 is a wasteful number, since it uses less digits than its factorization.

13244134303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13244134303400 its reverse (430343144231), we get a palindrome (13674477447631).

The spelling of 13244134303400 in words is "thirteen trillion, two hundred forty-four billion, one hundred thirty-four million, three hundred three thousand, four hundred".