201023313300 has 180 divisors, whose sum is σ = 652464919260. Its totient is φ = 53538209280.

The previous prime is 201023313289. The next prime is 201023313443. The reversal of 201023313300 is 3313320102.

201023313300 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 331 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8015979024 + 193007334276 = 89532^2 + 439326^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6537562 + ... + 6568238.

It is an arithmetic number, because the mean of its divisors is an integer number (3624805107).

Almost surely, 2^201023313300 is an apocalyptic number.

201023313300 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 201023313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326232459630).

201023313300 is an abundant number, since it is smaller than the sum of its proper divisors (451441605960).

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

201023313300 is a wasteful number, since it uses less digits than its factorization.

201023313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512 (or 31496 counting only the distinct ones).

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

Adding to 201023313300 its reverse (3313320102), we get a palindrome (204336633402).

The spelling of 201023313300 in words is "two hundred one billion, twenty-three million, three hundred thirteen thousand, three hundred".