13144311240000 has 560 divisors, whose sum is σ = 44983224760320. Its totient is φ = 3382767360000.

The previous prime is 13144311239987. The next prime is 13144311240023. The reversal of 13144311240000 is 4211344131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1409875339 + ... + 1409884661.

It is an arithmetic number, because the mean of its divisors is an integer number (80327187072).

Almost surely, 2^{13144311240000} is an apocalyptic number.

13144311240000 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 13144311240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491612380160).

13144311240000 is an abundant number, since it is smaller than the sum of its proper divisors (31838913520320).

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

13144311240000 is an equidigital number, since it uses as much as digits as its factorization.

13144311240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13144311240000 its reverse (4211344131), we get a palindrome (13148522584131).

The spelling of 13144311240000 in words is "thirteen trillion, one hundred forty-four billion, three hundred eleven million, two hundred forty thousand".