13124330505500 has 288 divisors, whose sum is σ = 31161632523840. Its totient is φ = 4812085555200.

The previous prime is 13124330505493. The next prime is 13124330505529. The reversal of 13124330505500 is 550503342131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6585212504 + ... + 6585214496.

It is an arithmetic number, because the mean of its divisors is an integer number (108200112930).

Almost surely, 2^{13124330505500} is an apocalyptic number.

13124330505500 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 13124330505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580816261920).

13124330505500 is an abundant number, since it is smaller than the sum of its proper divisors (18037302018340).

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

13124330505500 is a wasteful number, since it uses less digits than its factorization.

13124330505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 13124330505500 its reverse (550503342131), we get a palindrome (13674833847631).

The spelling of 13124330505500 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty million, five hundred five thousand, five hundred".