201303210000 has 400 divisors, whose sum is σ = 688003018560. Its totient is φ = 50615040000.

The previous prime is 201303209993. The next prime is 201303210001. The reversal of 201303210000 is 12303102.

It is a happy number.

201303210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201303210001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 37407310 + ... + 37412690.

Almost surely, 2^201303210000 is an apocalyptic number.

201303210000 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 201303210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344001509280).

201303210000 is an abundant number, since it is smaller than the sum of its proper divisors (486699808560).

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

201303210000 is a wasteful number, since it uses less digits than its factorization.

201303210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201303210000 its reverse (12303102), we get a palindrome (201315513102).

The spelling of 201303210000 in words is "two hundred one billion, three hundred three million, two hundred ten thousand".