13144444130500 has 96 divisors (see below), whose sum is σ = 29103917562720. Its totient is φ = 5185183334400.

The previous prime is 13144444130479. The next prime is 13144444130507. The reversal of 13144444130500 is 503144444131.

It can be written as a sum of positive squares in 16 ways, for example, as 9346178351104 + 3798265779396 = 3057152^2 + 1948914^2 .

It is a super-2 number, since 2×13144444130500² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144444130507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517301796 + ... + 517327204.

It is an arithmetic number, because the mean of its divisors is an integer number (303165807945).

Almost surely, 2^{13144444130500} is an apocalyptic number.

13144444130500 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 13144444130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551958781360).

13144444130500 is an abundant number, since it is smaller than the sum of its proper divisors (15959473432220).

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

13144444130500 is a wasteful number, since it uses less digits than its factorization.

13144444130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39674 (or 39662 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 13144444130500 its reverse (503144444131), we get a palindrome (13647588574631).

The spelling of 13144444130500 in words is "thirteen trillion, one hundred forty-four billion, four hundred forty-four million, one hundred thirty thousand, five hundred".