42723013 has 2 divisors, whose sum is σ = 42723014. Its totient is φ = 42723012.

The previous prime is 42723011. The next prime is 42723017. The reversal of 42723013 is 31032724.

42723013 is nontrivially palindromic in base 13.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23213124 + 19509889 = 4818^2 + 4417^2 .

It is a cyclic number.

It is not a de Polignac number, because 42723013 - 2¹ = 42723011 is a prime.

Together with 42723011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42723011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21361506 + 21361507.

It is an arithmetic number, because the mean of its divisors is an integer number (21361507).

Almost surely, 2^42723013 is an apocalyptic number.

It is an amenable number.

42723013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42723013 is an equidigital number, since it uses as much as digits as its factorization.

42723013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42723013 is about 6536.2843420402. The cubic root of 42723013 is about 349.5859402810.

Adding to 42723013 its reverse (31032724), we get a palindrome (73755737).

The spelling of 42723013 in words is "forty-two million, seven hundred twenty-three thousand, thirteen".