20132431002241 has 2 divisors, whose sum is σ = 20132431002242. Its totient is φ = 20132431002240.

The previous prime is 20132431002181. The next prime is 20132431002287. The reversal of 20132431002241 is 14220013423102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19674547360000 + 457883642241 = 4435600^2 + 676671^2 .

It is a cyclic number.

It is not a de Polignac number, because 20132431002241 - 2¹⁵ = 20132430969473 is a prime.

It is not a weakly prime, because it can be changed into another prime (20132431002041) 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 as a sum of consecutive naturals, namely, 10066215501120 + 10066215501121.

It is an arithmetic number, because the mean of its divisors is an integer number (10066215501121).

Almost surely, 2^{20132431002241} is an apocalyptic number.

It is an amenable number.

20132431002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

20132431002241 is an equidigital number, since it uses as much as digits as its factorization.

20132431002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20132431002241 its reverse (14220013423102), we get a palindrome (34352444425343).

The spelling of 20132431002241 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, two thousand, two hundred forty-one".