1002002110313 has 2 divisors, whose sum is σ = 1002002110314. Its totient is φ = 1002002110312.

The previous prime is 1002002110279. The next prime is 1002002110321. The reversal of 1002002110313 is 3130112002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 949383255769 + 52618854544 = 974363^2 + 229388^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002002110313 - 2¹⁰ = 1002002109289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002002100313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501001055156 + 501001055157.

It is an arithmetic number, because the mean of its divisors is an integer number (501001055157).

Almost surely, 2^{1002002110313} is an apocalyptic number.

It is an amenable number.

1002002110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002002110313 is an equidigital number, since it uses as much as digits as its factorization.

1002002110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002002110313 its reverse (3130112002001), we get a palindrome (4132114112314).

The spelling of 1002002110313 in words is "one trillion, two billion, two million, one hundred ten thousand, three hundred thirteen".