13214444312300 has 576 divisors, whose sum is σ = 36888488985600. Its totient is φ = 3990435840000.

The previous prime is 13214444312263. The next prime is 13214444312309. The reversal of 13214444312300 is 321344441231.

It is not an unprimeable number, because it can be changed into a prime (13214444312309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7777776851 + ... + 7777778549.

It is an arithmetic number, because the mean of its divisors is an integer number (64042515600).

Almost surely, 2^{13214444312300} is an apocalyptic number.

13214444312300 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 13214444312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444244492800).

13214444312300 is an abundant number, since it is smaller than the sum of its proper divisors (23674044673300).

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

13214444312300 is a wasteful number, since it uses less digits than its factorization.

13214444312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13214444312300 its reverse (321344441231), we get a palindrome (13535788753531).

It can be divided in two parts, 132144 and 44312300, that added together give a palindrome (44444444).

The spelling of 13214444312300 in words is "thirteen trillion, two hundred fourteen billion, four hundred forty-four million, three hundred twelve thousand, three hundred".