201320020 has 48 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 72974720.

The previous prime is 201319969. The next prime is 201320033. The reversal of 201320020 is 20023102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201319979 and 201320006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 77706 + ... + 80254.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^201320020 is an apocalyptic number.

201320020 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 201320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

201320020 is an abundant number, since it is smaller than the sum of its proper divisors (261351980).

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

201320020 is a wasteful number, since it uses less digits than its factorization.

201320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201320020 is about 14188.7286252152. The cubic root of 201320020 is about 586.0873147392.

Adding to 201320020 its reverse (20023102), we get a palindrome (221343122).

The spelling of 201320020 in words is "two hundred one million, three hundred twenty thousand, twenty".