201301330020 has 192 divisors, whose sum is σ = 673938800640. Its totient is φ = 43895503872.

The previous prime is 201301330001. The next prime is 201301330039. The reversal of 201301330020 is 20033103102.

It is an interprime number because it is at equal distance from previous prime (201301330001) and next prime (201301330039).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3672576 + ... + 3726984.

It is an arithmetic number, because the mean of its divisors is an integer number (3510097920).

Almost surely, 2^201301330020 is an apocalyptic number.

201301330020 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 201301330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336969400320).

201301330020 is an abundant number, since it is smaller than the sum of its proper divisors (472637470620).

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

201301330020 is a wasteful number, since it uses less digits than its factorization.

201301330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54834 (or 54832 counting only the distinct ones).

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

Adding to 201301330020 its reverse (20033103102), we get a palindrome (221334433122).

The spelling of 201301330020 in words is "two hundred one billion, three hundred one million, three hundred thirty thousand, twenty".