13012144000 has 128 divisors (see below), whose sum is σ = 33105552480. Its totient is φ = 5083545600.

The previous prime is 13012143983. The next prime is 13012144001. The reversal of 13012144000 is 44121031.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678544 + ... + 697456.

Almost surely, 2^13012144000 is an apocalyptic number.

13012144000 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 13012144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552776240).

13012144000 is an abundant number, since it is smaller than the sum of its proper divisors (20093408480).

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

13012144000 is an equidigital number, since it uses as much as digits as its factorization.

13012144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18985 (or 18963 counting only the distinct ones).

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

Adding to 13012144000 its reverse (44121031), we get a palindrome (13056265031).

The spelling of 13012144000 in words is "thirteen billion, twelve million, one hundred forty-four thousand".