201010313311200 has 216 divisors, whose sum is σ = 731677541265216. Its totient is φ = 51873629184000.

The previous prime is 201010313311147. The next prime is 201010313311219. The reversal of 201010313311200 is 2113313010102.

201010313311200 is a `hidden beast` number, since 2 + 0 + 10 + 10 + 313 + 311 + 20 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450068721 + ... + 450515120.

It is an arithmetic number, because the mean of its divisors is an integer number (3387396024376).

Almost surely, 2^{201010313311200} is an apocalyptic number.

201010313311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010313311200 is an abundant number, since it is smaller than the sum of its proper divisors (530667227954016).

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

201010313311200 is a wasteful number, since it uses less digits than its factorization.

201010313311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900583898 (or 900583882 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201010313311200 its reverse (2113313010102), we get a palindrome (203123626321302).

The spelling of 201010313311200 in words is "two hundred one trillion, ten billion, three hundred thirteen million, three hundred eleven thousand, two hundred".