201300331320 has 768 divisors, whose sum is σ = 799525209600. Its totient is φ = 43290132480.

The previous prime is 201300331313. The next prime is 201300331343. The reversal of 201300331320 is 23133003102.

201300331320 is a `hidden beast` number, since 2 + 0 + 1 + 300 + 331 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201300331293 and 201300331302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431049727 + ... + 431050193.

It is an arithmetic number, because the mean of its divisors is an integer number (1041048450).

Almost surely, 2^201300331320 is an apocalyptic number.

201300331320 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 201300331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399762604800).

201300331320 is an abundant number, since it is smaller than the sum of its proper divisors (598224878280).

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

201300331320 is a wasteful number, since it uses less digits than its factorization.

201300331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201300331320 its reverse (23133003102), we get a palindrome (224433334422).

The spelling of 201300331320 in words is "two hundred one billion, three hundred million, three hundred thirty-one thousand, three hundred twenty".