1001013137 has 2 divisors, whose sum is σ = 1001013138. Its totient is φ = 1001013136.

The previous prime is 1001013127. The next prime is 1001013151. The reversal of 1001013137 is 7313101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 803779201 + 197233936 = 28351^2 + 14044^2 .

It is an emirp because it is prime and its reverse (7313101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001013137 - 2²⁴ = 984235921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001013127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506568 + 500506569.

It is an arithmetic number, because the mean of its divisors is an integer number (500506569).

Almost surely, 2^1001013137 is an apocalyptic number.

It is an amenable number.

1001013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001013137 is an equidigital number, since it uses as much as digits as its factorization.

1001013137 is an evil number, because the sum of its binary digits is even.

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

The square root of 1001013137 is about 31638.7916488604. The cubic root of 1001013137 is about 1000.3375983479.

Adding to 1001013137 its reverse (7313101001), we get a palindrome (8314114138).

The spelling of 1001013137 in words is "one billion, one million, thirteen thousand, one hundred thirty-seven".