42142013 has 2 divisors, whose sum is σ = 42142014. Its totient is φ = 42142012.

The previous prime is 42141991. The next prime is 42142027. The reversal of 42142013 is 31024124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26759929 + 15382084 = 5173^2 + 3922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42142013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42141982 and 42142000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42142073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21071006 + 21071007.

It is an arithmetic number, because the mean of its divisors is an integer number (21071007).

Almost surely, 2^42142013 is an apocalyptic number.

It is an amenable number.

42142013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42142013 is an equidigital number, since it uses as much as digits as its factorization.

42142013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42142013 is about 6491.6879931186. The cubic root of 42142013 is about 347.9940022968.

Adding to 42142013 its reverse (31024124), we get a palindrome (73166137).

The spelling of 42142013 in words is "forty-two million, one hundred forty-two thousand, thirteen".