1021310137 has 2 divisors, whose sum is σ = 1021310138. Its totient is φ = 1021310136.

The previous prime is 1021310131. The next prime is 1021310153. The reversal of 1021310137 is 7310131201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020738601 + 571536 = 31949^2 + 756^2 .

It is an emirp because it is prime and its reverse (7310131201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021310137 - 2¹¹ = 1021308089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021310131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510655068 + 510655069.

It is an arithmetic number, because the mean of its divisors is an integer number (510655069).

Almost surely, 2^1021310137 is an apocalyptic number.

It is an amenable number.

1021310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021310137 is an equidigital number, since it uses as much as digits as its factorization.

1021310137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1021310137 is about 31957.9432535950. The cubic root of 1021310137 is about 1007.0535100210.

Adding to 1021310137 its reverse (7310131201), we get a palindrome (8331441338).

The spelling of 1021310137 in words is "one billion, twenty-one million, three hundred ten thousand, one hundred thirty-seven".