201312330000 has 400 divisors, whose sum is σ = 682020383616. Its totient is φ = 51054080000.

The previous prime is 201312329957. The next prime is 201312330001. The reversal of 201312330000 is 33213102.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (201312330001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135929260 + ... + 135930740.

Almost surely, 2^201312330000 is an apocalyptic number.

201312330000 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 201312330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341010191808).

201312330000 is an abundant number, since it is smaller than the sum of its proper divisors (480708053616).

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

201312330000 is a wasteful number, since it uses less digits than its factorization.

201312330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 201312330000 its reverse (33213102), we get a palindrome (201345543102).

The spelling of 201312330000 in words is "two hundred one billion, three hundred twelve million, three hundred thirty thousand".