42071500013 has 2 divisors, whose sum is σ = 42071500014. Its totient is φ = 42071500012.

The previous prime is 42071499937. The next prime is 42071500033. The reversal of 42071500013 is 31000517024.

42071500013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28165901929 + 13905598084 = 167827^2 + 117922^2 .

It is a cyclic number.

It is not a de Polignac number, because 42071500013 - 2¹⁶ = 42071434477 is a prime.

It is a super-2 number, since 2×42071500013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42071500033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21035750006 + 21035750007.

It is an arithmetic number, because the mean of its divisors is an integer number (21035750007).

Almost surely, 2^42071500013 is an apocalyptic number.

It is an amenable number.

42071500013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42071500013 is an equidigital number, since it uses as much as digits as its factorization.

42071500013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 42071500013 in words is "forty-two billion, seventy-one million, five hundred thousand, thirteen".