38013013 has 2 divisors, whose sum is σ = 38013014. Its totient is φ = 38013012.

The previous prime is 38013007. The next prime is 38013049. The reversal of 38013013 is 31031083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21178404 + 16834609 = 4602^2 + 4103^2 .

It is an emirp because it is prime and its reverse (31031083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38013013 - 2⁵ = 38012981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38011013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19006506 + 19006507.

It is an arithmetic number, because the mean of its divisors is an integer number (19006507).

Almost surely, 2^38013013 is an apocalyptic number.

It is an amenable number.

38013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

38013013 is an equidigital number, since it uses as much as digits as its factorization.

38013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 38013013 is about 6165.4694062983. The cubic root of 38013013 is about 336.2359129544.

Adding to 38013013 its reverse (31031083), we get a palindrome (69044096).

The spelling of 38013013 in words is "thirty-eight million, thirteen thousand, thirteen".