201020132131121 has 12 divisors (see below), whose sum is σ = 205892872707060. Its totient is φ = 196260206415840.

The previous prime is 201020132131103. The next prime is 201020132131177. The reversal of 201020132131121 is 121131231020102.

It can be written as a sum of positive squares in 2 ways, for example, as 143462039374096 + 57558092757025 = 11977564^2 + 7586705^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201020132131121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201020132131093 and 201020132131102.

It is not an unprimeable number, because it can be changed into a prime (201020132131421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19272950 + ... + 27811631.

It is an arithmetic number, because the mean of its divisors is an integer number (17157739392255).

Almost surely, 2^{201020132131121} is an apocalyptic number.

It is an amenable number.

201020132131121 is a deficient number, since it is larger than the sum of its proper divisors (4872740575939).

201020132131121 is an equidigital number, since it uses as much as digits as its factorization.

201020132131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47086976 (or 47086933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201020132131121 its reverse (121131231020102), we get a palindrome (322151363151223).

The spelling of 201020132131121 in words is "two hundred one trillion, twenty billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty-one".