13143124312000 has 448 divisors, whose sum is σ = 34742196403200. Its totient is φ = 4916422656000.

The previous prime is 13143124311953. The next prime is 13143124312001. The reversal of 13143124312000 is 21342134131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143124312001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367219194 + ... + 1367228806.

Almost surely, 2^{13143124312000} is an apocalyptic number.

13143124312000 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 13143124312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17371098201600).

13143124312000 is an abundant number, since it is smaller than the sum of its proper divisors (21599072091200).

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

13143124312000 is a wasteful number, since it uses less digits than its factorization.

13143124312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13143124312000 its reverse (21342134131), we get a palindrome (13164466446131).

The spelling of 13143124312000 in words is "thirteen trillion, one hundred forty-three billion, one hundred twenty-four million, three hundred twelve thousand".