201313320000 has 560 divisors, whose sum is σ = 759051925632. Its totient is φ = 46632960000.

The previous prime is 201313319959. The next prime is 201313320007. The reversal of 201313320000 is 23313102.

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 (201313320007) 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, 26516205 + ... + 26523795.

Almost surely, 2^201313320000 is an apocalyptic number.

201313320000 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 201313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379525962816).

201313320000 is an abundant number, since it is smaller than the sum of its proper divisors (557738605632).

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

201313320000 is a wasteful number, since it uses less digits than its factorization.

201313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7631 counting only the distinct ones).

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

Adding to 201313320000 its reverse (23313102), we get a palindrome (201336633102).

The spelling of 201313320000 in words is "two hundred one billion, three hundred thirteen million, three hundred twenty thousand".