201020013331200 has 324 divisors, whose sum is σ = 821362192229488. Its totient is φ = 45947431526400.

The previous prime is 201020013331199. The next prime is 201020013331211. The reversal of 201020013331200 is 2133310020102.

201020013331200 is a `hidden beast` number, since 2 + 0 + 10 + 200 + 1 + 333 + 120 + 0 = 666.

201020013331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201020013331200³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248877571 + ... + 249683970.

Almost surely, 2^{201020013331200} is an apocalyptic number.

201020013331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020013331200 is an abundant number, since it is smaller than the sum of its proper divisors (620342178898288).

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

201020013331200 is a wasteful number, since it uses less digits than its factorization.

201020013331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498561580 (or 498561558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201020013331200 its reverse (2133310020102), we get a palindrome (203153323351302).

The spelling of 201020013331200 in words is "two hundred one trillion, twenty billion, thirteen million, three hundred thirty-one thousand, two hundred".