42135015340321 has 2 divisors, whose sum is σ = 42135015340322. Its totient is φ = 42135015340320.

The previous prime is 42135015340241. The next prime is 42135015340333. The reversal of 42135015340321 is 12304351053124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26689415792400 + 15445599547921 = 5166180^2 + 3930089^2 .

It is a cyclic number.

It is not a de Polignac number, because 42135015340321 - 2¹³ = 42135015332129 is a prime.

It is not a weakly prime, because it can be changed into another prime (42135015340391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21067507670160 + 21067507670161.

It is an arithmetic number, because the mean of its divisors is an integer number (21067507670161).

Almost surely, 2^{42135015340321} is an apocalyptic number.

It is an amenable number.

42135015340321 is a deficient number, since it is larger than the sum of its proper divisors (1).

42135015340321 is an equidigital number, since it uses as much as digits as its factorization.

42135015340321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 42135015340321 its reverse (12304351053124), we get a palindrome (54439366393445).

The spelling of 42135015340321 in words is "forty-two trillion, one hundred thirty-five billion, fifteen million, three hundred forty thousand, three hundred twenty-one".