13144313130000 has 400 divisors, whose sum is σ = 48383563003776. Its totient is φ = 3045196800000.

The previous prime is 13144313129963. The next prime is 13144313130043. The reversal of 13144313130000 is 3131344131.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5638725 + ... + 7621275.

Almost surely, 2^{13144313130000} is an apocalyptic number.

13144313130000 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 13144313130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24191781501888).

13144313130000 is an abundant number, since it is smaller than the sum of its proper divisors (35239249873776).

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

13144313130000 is a wasteful number, since it uses less digits than its factorization.

13144313130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982612 (or 1982591 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13144313130000 its reverse (3131344131), we get a palindrome (13147444474131).

The spelling of 13144313130000 in words is "thirteen trillion, one hundred forty-four billion, three hundred thirteen million, one hundred thirty thousand".