10013001137 has 2 divisors, whose sum is σ = 10013001138. Its totient is φ = 10013001136.

The previous prime is 10013001133. The next prime is 10013001157. The reversal of 10013001137 is 73110031001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8419714081 + 1593287056 = 91759^2 + 39916^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013001137 - 2² = 10013001133 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013001133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006500568 + 5006500569.

It is an arithmetic number, because the mean of its divisors is an integer number (5006500569).

Almost surely, 2^10013001137 is an apocalyptic number.

It is an amenable number.

10013001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013001137 is an equidigital number, since it uses as much as digits as its factorization.

10013001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

Adding to 10013001137 its reverse (73110031001), we get a palindrome (83123032138).

The spelling of 10013001137 in words is "ten billion, thirteen million, one thousand, one hundred thirty-seven".