42135013 has 2 divisors, whose sum is σ = 42135014. Its totient is φ = 42135012.

The previous prime is 42134987. The next prime is 42135017. The reversal of 42135013 is 31053124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22439169 + 19695844 = 4737^2 + 4438^2 .

It is a cyclic number.

It is not a de Polignac number, because 42135013 - 2²¹ = 40037861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42135017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21067506 + 21067507.

It is an arithmetic number, because the mean of its divisors is an integer number (21067507).

Almost surely, 2^42135013 is an apocalyptic number.

It is an amenable number.

42135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42135013 is an equidigital number, since it uses as much as digits as its factorization.

42135013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 42135013 is about 6491.1488197391. The cubic root of 42135013 is about 347.9747333794.

Adding to 42135013 its reverse (31053124), we get a palindrome (73188137).

The spelling of 42135013 in words is "forty-two million, one hundred thirty-five thousand, thirteen".