1002301313 has 6 divisors (see below), whose sum is σ = 1085332374. Its totient is φ = 925201056.

The previous prime is 1002301297. The next prime is 1002301373. The reversal of 1002301313 is 3131032001.

It can be written as a sum of positive squares in 3 ways, for example, as 26863489 + 975437824 = 5183^2 + 31232^2 .

It is not a de Polignac number, because 1002301313 - 2⁴ = 1002301297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002301373) 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 in 5 ways as a sum of consecutive naturals, for example, 2965220 + ... + 2965557.

It is an arithmetic number, because the mean of its divisors is an integer number (180888729).

Almost surely, 2^1002301313 is an apocalyptic number.

1002301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002301313 is a deficient number, since it is larger than the sum of its proper divisors (83031061).

1002301313 is an equidigital number, since it uses as much as digits as its factorization.

1002301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930803 (or 5930790 counting only the distinct ones).

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

The square root of 1002301313 is about 31659.1426447401. The cubic root of 1002301313 is about 1000.7665166355.

Adding to 1002301313 its reverse (3131032001), we get a palindrome (4133333314).

The spelling of 1002301313 in words is "one billion, two million, three hundred one thousand, three hundred thirteen".