42144254001313 has 2 divisors, whose sum is σ = 42144254001314. Its totient is φ = 42144254001312.

The previous prime is 42144254001259. The next prime is 42144254001349. The reversal of 42144254001313 is 31310045244124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21101960253969 + 21042293747344 = 4593687^2 + 4587188^2 .

It is a cyclic number.

It is not a de Polignac number, because 42144254001313 - 2²⁹ = 42143717130401 is a prime.

It is a super-2 number, since 2×42144254001313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42144254001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21072127000656 + 21072127000657.

It is an arithmetic number, because the mean of its divisors is an integer number (21072127000657).

Almost surely, 2^{42144254001313} is an apocalyptic number.

It is an amenable number.

42144254001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

42144254001313 is an equidigital number, since it uses as much as digits as its factorization.

42144254001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 42144254001313 its reverse (31310045244124), we get a palindrome (73454299245437).

The spelling of 42144254001313 in words is "forty-two trillion, one hundred forty-four billion, two hundred fifty-four million, one thousand, three hundred thirteen".