201330121320 has 128 divisors (see below), whose sum is σ = 671518742400. Its totient is φ = 53654565888.

The previous prime is 201330121309. The next prime is 201330121337. The reversal of 201330121320 is 23121033102.

201330121320 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 12 + 1 + 320 = 666.

201330121320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 201330121293 and 201330121302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1699872 + ... + 1814448.

It is an arithmetic number, because the mean of its divisors is an integer number (5246240175).

Almost surely, 2^201330121320 is an apocalyptic number.

201330121320 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 201330121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335759371200).

201330121320 is an abundant number, since it is smaller than the sum of its proper divisors (470188621080).

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

201330121320 is a wasteful number, since it uses less digits than its factorization.

201330121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116224 (or 116214 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201330121320 its reverse (23121033102), we get a palindrome (224451154422).

The spelling of 201330121320 in words is "two hundred one billion, three hundred thirty million, one hundred twenty-one thousand, three hundred twenty".