13114144000 has 72 divisors (see below), whose sum is σ = 32669051688. Its totient is φ = 5245644800.

The previous prime is 13114143997. The next prime is 13114144009. The reversal of 13114144000 is 44141131.

It can be written as a sum of positive squares in 4 ways, for example, as 3393761536 + 9720382464 = 58256^2 + 98592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114144009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172909 + ... + 236908.

It is an arithmetic number, because the mean of its divisors is an integer number (453736829).

Almost surely, 2^13114144000 is an apocalyptic number.

13114144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114144000 is an abundant number, since it is smaller than the sum of its proper divisors (19554907688).

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

13114144000 is an frugal number, since it uses more digits than its factorization.

13114144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409848 (or 409824 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13114144000 its reverse (44141131), we get a palindrome (13158285131).

The spelling of 13114144000 in words is "thirteen billion, one hundred fourteen million, one hundred forty-four thousand".