1004123137 has 2 divisors, whose sum is σ = 1004123138. Its totient is φ = 1004123136.

The previous prime is 1004123129. The next prime is 1004123149. The reversal of 1004123137 is 7313214001.

1004123137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 943656961 + 60466176 = 30719^2 + 7776^2 .

It is an emirp because it is prime and its reverse (7313214001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004123137 - 2³ = 1004123129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004120137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502061568 + 502061569.

It is an arithmetic number, because the mean of its divisors is an integer number (502061569).

Almost surely, 2^1004123137 is an apocalyptic number.

It is an amenable number.

1004123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004123137 is an equidigital number, since it uses as much as digits as its factorization.

1004123137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1004123137 is about 31687.9020605656. The cubic root of 1004123137 is about 1001.3724943973.

Adding to 1004123137 its reverse (7313214001), we get a palindrome (8317337138).

The spelling of 1004123137 in words is "one billion, four million, one hundred twenty-three thousand, one hundred thirty-seven".