201320002312020 has 72 divisors (see below), whose sum is σ = 611767030669704. Its totient is φ = 53588950917888.

The previous prime is 201320002312019. The next prime is 201320002312021. The reversal of 201320002312020 is 20213200023102.

201320002312020 is a `hidden beast` number, since 20 + 13 + 200 + 0 + 231 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201320002312019) and next prime (201320002312021).

It can be written as a sum of positive squares in 4 ways, for example, as 4855094951184 + 196464907360836 = 2203428^2 + 14016594^2 .

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 = 201320002311984 and 201320002312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201320002312021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003889379 + ... + 1004089898.

It is an arithmetic number, because the mean of its divisors is an integer number (8496764314857).

Almost surely, 2^{201320002312020} is an apocalyptic number.

201320002312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201320002312020 is an abundant number, since it is smaller than the sum of its proper divisors (410447028357684).

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

201320002312020 is a wasteful number, since it uses less digits than its factorization.

201320002312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007979849 (or 2007979844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201320002312020 its reverse (20213200023102), we get a palindrome (221533202335122).

The spelling of 201320002312020 in words is "two hundred one trillion, three hundred twenty billion, two million, three hundred twelve thousand, twenty".