13241214000 has 480 divisors, whose sum is σ = 55645724160. Its totient is φ = 2866752000.

The previous prime is 13241213983. The next prime is 13241214037. The reversal of 13241214000 is 41214231.

13241214000 is a `hidden beast` number, since 1 + 3 + 241 + 21 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2391235 + ... + 2396765.

It is an arithmetic number, because the mean of its divisors is an integer number (115928592).

Almost surely, 2^13241214000 is an apocalyptic number.

13241214000 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 13241214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822862080).

13241214000 is an abundant number, since it is smaller than the sum of its proper divisors (42404510160).

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

13241214000 is a wasteful number, since it uses less digits than its factorization.

13241214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13241214000 its reverse (41214231), we get a palindrome (13282428231).

The spelling of 13241214000 in words is "thirteen billion, two hundred forty-one million, two hundred fourteen thousand".