201231321000 has 256 divisors, whose sum is σ = 645635128320. Its totient is φ = 52151040000.

The previous prime is 201231320977. The next prime is 201231321013. The reversal of 201231321000 is 123132102.

201231321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33329982 + ... + 33336018.

It is an arithmetic number, because the mean of its divisors is an integer number (2522012220).

Almost surely, 2^201231321000 is an apocalyptic number.

201231321000 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 201231321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322817564160).

201231321000 is an abundant number, since it is smaller than the sum of its proper divisors (444403807320).

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

201231321000 is a wasteful number, since it uses less digits than its factorization.

201231321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201231321000 its reverse (123132102), we get a palindrome (201354453102).

The spelling of 201231321000 in words is "two hundred one billion, two hundred thirty-one million, three hundred twenty-one thousand".