1001331137 has 2 divisors, whose sum is σ = 1001331138. Its totient is φ = 1001331136.

The previous prime is 1001331131. The next prime is 1001331181. The reversal of 1001331137 is 7311331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 999128881 + 2202256 = 31609^2 + 1484^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001331137 - 2⁶ = 1001331073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001331131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500665568 + 500665569.

It is an arithmetic number, because the mean of its divisors is an integer number (500665569).

Almost surely, 2^1001331137 is an apocalyptic number.

It is an amenable number.

1001331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001331137 is an equidigital number, since it uses as much as digits as its factorization.

1001331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 1001331137 is about 31643.8167261789. The cubic root of 1001331137 is about 1000.4435155982.

Adding to 1001331137 its reverse (7311331001), we get a palindrome (8312662138).

The spelling of 1001331137 in words is "one billion, one million, three hundred thirty-one thousand, one hundred thirty-seven".