131011220021201 has 16 divisors (see below), whose sum is σ = 141109455427920. Its totient is φ = 120915907553280.

The previous prime is 131011220021191. The next prime is 131011220021207. The reversal of 131011220021201 is 102120022110131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20983728640000 + 110027491381201 = 4580800^2 + 10489399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131011220021201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131011220021201.

It is not an unprimeable number, because it can be changed into a prime (131011220021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4516212185 + ... + 4516241193.

It is an arithmetic number, because the mean of its divisors is an integer number (8819340964245).

Almost surely, 2^{131011220021201} is an apocalyptic number.

It is an amenable number.

131011220021201 is a deficient number, since it is larger than the sum of its proper divisors (10098235406719).

131011220021201 is a wasteful number, since it uses less digits than its factorization.

131011220021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67396.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131011220021201 its reverse (102120022110131), we get a palindrome (233131242131332).

The spelling of 131011220021201 in words is "one hundred thirty-one trillion, eleven billion, two hundred twenty million, twenty-one thousand, two hundred one".