201031320213121 has 16 divisors (see below), whose sum is σ = 204208360853328. Its totient is φ = 197877694464000.

The previous prime is 201031320213079. The next prime is 201031320213137. The reversal of 201031320213121 is 121312023130102.

It can be written as a sum of positive squares in 8 ways, for example, as 18672250899600 + 182359069313521 = 4321140^2 + 13504039^2 .

It is a cyclic number.

It is not a de Polignac number, because 201031320213121 - 2³³ = 201022730278529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201031320213092 and 201031320213101.

It is not an unprimeable number, because it can be changed into a prime (201031320213221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278106241 + ... + 278828161.

It is an arithmetic number, because the mean of its divisors is an integer number (12763022553333).

Almost surely, 2^{201031320213121} is an apocalyptic number.

It is an amenable number.

201031320213121 is a deficient number, since it is larger than the sum of its proper divisors (3177040640207).

201031320213121 is a wasteful number, since it uses less digits than its factorization.

201031320213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738132.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201031320213121 its reverse (121312023130102), we get a palindrome (322343343343223).

The spelling of 201031320213121 in words is "two hundred one trillion, thirty-one billion, three hundred twenty million, two hundred thirteen thousand, one hundred twenty-one".