201020131301121 has 24 divisors (see below), whose sum is σ = 316799486729856. Its totient is φ = 121814808779040.

The previous prime is 201020131301113. The next prime is 201020131301203. The reversal of 201020131301121 is 121103131020102.

201020131301121 is a `hidden beast` number, since 2 + 0 + 10 + 201 + 31 + 301 + 121 = 666.

It is not a de Polignac number, because 201020131301121 - 2³ = 201020131301113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201020131301094 and 201020131301103.

It is not an unprimeable number, because it can be changed into a prime (201020131301111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129003510 + ... + 130552463.

It is an arithmetic number, because the mean of its divisors is an integer number (13199978613744).

Almost surely, 2^{201020131301121} is an apocalyptic number.

It is an amenable number.

201020131301121 is a deficient number, since it is larger than the sum of its proper divisors (115779355428735).

201020131301121 is a wasteful number, since it uses less digits than its factorization.

201020131301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259563813 (or 259563810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201020131301121 its reverse (121103131020102), we get a palindrome (322123262321223).

The spelling of 201020131301121 in words is "two hundred one trillion, twenty billion, one hundred thirty-one million, three hundred one thousand, one hundred twenty-one".