13044331314100 has 144 divisors (see below), whose sum is σ = 29598905548800. Its totient is φ = 4983861168000.

The previous prime is 13044331314097. The next prime is 13044331314101. The reversal of 13044331314100 is 141313344031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044331314101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957797091 + ... + 957810709.

It is an arithmetic number, because the mean of its divisors is an integer number (205547955200).

Almost surely, 2^{13044331314100} is an apocalyptic number.

13044331314100 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 13044331314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799452774400).

13044331314100 is an abundant number, since it is smaller than the sum of its proper divisors (16554574234700).

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

13044331314100 is a wasteful number, since it uses less digits than its factorization.

13044331314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17654 (or 17647 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13044331314100 its reverse (141313344031), we get a palindrome (13185644658131).

The spelling of 13044331314100 in words is "thirteen trillion, forty-four billion, three hundred thirty-one million, three hundred fourteen thousand, one hundred".