10242135531541 has 2 divisors, whose sum is σ = 10242135531542. Its totient is φ = 10242135531540.

The previous prime is 10242135531539. The next prime is 10242135531581. The reversal of 10242135531541 is 14513553124201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9362094540516 + 880040991025 = 3059754^2 + 938105^2 .

It is a cyclic number.

It is not a de Polignac number, because 10242135531541 - 2¹ = 10242135531539 is a prime.

Together with 10242135531539, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10242135531541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10242135531581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5121067765770 + 5121067765771.

It is an arithmetic number, because the mean of its divisors is an integer number (5121067765771).

Almost surely, 2^{10242135531541} is an apocalyptic number.

It is an amenable number.

10242135531541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10242135531541 is an equidigital number, since it uses as much as digits as its factorization.

10242135531541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 10242135531541 its reverse (14513553124201), we get a palindrome (24755688655742).

The spelling of 10242135531541 in words is "ten trillion, two hundred forty-two billion, one hundred thirty-five million, five hundred thirty-one thousand, five hundred forty-one".