13140124000 has 96 divisors (see below), whose sum is σ = 32328852192. Its totient is φ = 5248960000.

The previous prime is 13140123991. The next prime is 13140124013. The reversal of 13140124000 is 42104131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762255 + ... + 3765745.

It is an arithmetic number, because the mean of its divisors is an integer number (336758877).

Almost surely, 2^13140124000 is an apocalyptic number.

13140124000 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 13140124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164426096).

13140124000 is an abundant number, since it is smaller than the sum of its proper divisors (19188728192).

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

13140124000 is an equidigital number, since it uses as much as digits as its factorization.

13140124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13140124000 its reverse (42104131), we get a palindrome (13182228131).

The spelling of 13140124000 in words is "thirteen billion, one hundred forty million, one hundred twenty-four thousand".