1002331013 has 2 divisors, whose sum is σ = 1002331014. Its totient is φ = 1002331012.

The previous prime is 1002331009. The next prime is 1002331019. The reversal of 1002331013 is 3101332001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717329089 + 285001924 = 26783^2 + 16882^2 .

It is an emirp because it is prime and its reverse (3101332001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002331013 - 2² = 1002331009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002331019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501165506 + 501165507.

It is an arithmetic number, because the mean of its divisors is an integer number (501165507).

Almost surely, 2^1002331013 is an apocalyptic number.

It is an amenable number.

1002331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002331013 is an equidigital number, since it uses as much as digits as its factorization.

1002331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1002331013 is about 31659.6117000825. The cubic root of 1002331013 is about 1000.7764013782.

Adding to 1002331013 its reverse (3101332001), we get a palindrome (4103663014).

The spelling of 1002331013 in words is "one billion, two million, three hundred thirty-one thousand, thirteen".