4131223432081 has 2 divisors, whose sum is σ = 4131223432082. Its totient is φ = 4131223432080.

The previous prime is 4131223432079. The next prime is 4131223432157. The reversal of 4131223432081 is 1802343221314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3865977831681 + 265245600400 = 1966209^2 + 515020^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131223432081 - 2¹ = 4131223432079 is a prime.

It is a super-3 number, since 3×4131223432081³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 4131223432079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4131223432181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065611716040 + 2065611716041.

It is an arithmetic number, because the mean of its divisors is an integer number (2065611716041).

Almost surely, 2^{4131223432081} is an apocalyptic number.

It is an amenable number.

4131223432081 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131223432081 is an equidigital number, since it uses as much as digits as its factorization.

4131223432081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 4131223432081 its reverse (1802343221314), we get a palindrome (5933566653395).

The spelling of 4131223432081 in words is "four trillion, one hundred thirty-one billion, two hundred twenty-three million, four hundred thirty-two thousand, eighty-one".