201330214000 has 120 divisors (see below), whose sum is σ = 498410211312. Its totient is φ = 78657801600.

The previous prime is 201330213991. The next prime is 201330214003. The reversal of 201330214000 is 412033102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670779 + ... + 3725221.

Almost surely, 2^201330214000 is an apocalyptic number.

201330214000 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 201330214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249205105656).

201330214000 is an abundant number, since it is smaller than the sum of its proper divisors (297079997312).

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

201330214000 is an equidigital number, since it uses as much as digits as its factorization.

201330214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54552 (or 54493 counting only the distinct ones).

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

Adding to 201330214000 its reverse (412033102), we get a palindrome (201742247102).

The spelling of 201330214000 in words is "two hundred one billion, three hundred thirty million, two hundred fourteen thousand".