13242314000 has 80 divisors (see below), whose sum is σ = 32562915840. Its totient is φ = 5207100800.

The previous prime is 13242313991. The next prime is 13242314011. The reversal of 13242314000 is 41324231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 61889 + ... + 174111.

It is an arithmetic number, because the mean of its divisors is an integer number (407036448).

Almost surely, 2^13242314000 is an apocalyptic number.

13242314000 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 13242314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281457920).

13242314000 is an abundant number, since it is smaller than the sum of its proper divisors (19320601840).

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

13242314000 is a wasteful number, since it uses less digits than its factorization.

13242314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112305 (or 112289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13242314000 its reverse (41324231), we get a palindrome (13283638231).

It can be divided in two parts, 1324231 and 4000, that added together give a palindrome (1328231).

The spelling of 13242314000 in words is "thirteen billion, two hundred forty-two million, three hundred fourteen thousand".