1001001137 has 2 divisors, whose sum is σ = 1001001138. Its totient is φ = 1001001136.

The previous prime is 1001001119. The next prime is 1001001151. The reversal of 1001001137 is 7311001001.

It is an a-pointer prime, because the next prime (1001001151) can be obtained adding 1001001137 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 632975281 + 368025856 = 25159^2 + 19184^2 .

It is an emirp because it is prime and its reverse (7311001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001001137 - 2¹⁰ = 1001000113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001001037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500568 + 500500569.

It is an arithmetic number, because the mean of its divisors is an integer number (500500569).

Almost surely, 2^1001001137 is an apocalyptic number.

It is an amenable number.

1001001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001137 is an equidigital number, since it uses as much as digits as its factorization.

1001001137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1001001137 is about 31638.6020076741. The cubic root of 1001001137 is about 1000.3336010313. Note that the first 3 decimals are identical.

Adding to 1001001137 its reverse (7311001001), we get a palindrome (8312002138).

The spelling of 1001001137 in words is "one billion, one million, one thousand, one hundred thirty-seven".