201324013000 has 256 divisors, whose sum is σ = 561725798400. Its totient is φ = 66677760000.

The previous prime is 201324012979. The next prime is 201324013001. The reversal of 201324013000 is 310423102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201324013001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5779636 + ... + 5814364.

It is an arithmetic number, because the mean of its divisors is an integer number (2194241400).

Almost surely, 2^201324013000 is an apocalyptic number.

201324013000 is a gapful number since it is divisible by the number (20) 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 201324013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280862899200).

201324013000 is an abundant number, since it is smaller than the sum of its proper divisors (360401785400).

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

201324013000 is a wasteful number, since it uses less digits than its factorization.

201324013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34809 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201324013000 its reverse (310423102), we get a palindrome (201634436102).

The spelling of 201324013000 in words is "two hundred one billion, three hundred twenty-four million, thirteen thousand".