201331030320 has 240 divisors, whose sum is σ = 774220928832. Its totient is φ = 45929594880.

The previous prime is 201331030319. The next prime is 201331030333. The reversal of 201331030320 is 23030133102.

201331030320 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 310 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 201331030293 and 201331030302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2587504 + ... + 2664176.

Almost surely, 2^201331030320 is an apocalyptic number.

201331030320 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 201331030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387110464416).

201331030320 is an abundant number, since it is smaller than the sum of its proper divisors (572889898512).

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

201331030320 is a wasteful number, since it uses less digits than its factorization.

201331030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77220 (or 77211 counting only the distinct ones).

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

Adding to 201331030320 its reverse (23030133102), we get a palindrome (224361163422).

The spelling of 201331030320 in words is "two hundred one billion, three hundred thirty-one million, thirty thousand, three hundred twenty".