1003002313 has 2 divisors, whose sum is σ = 1003002314. Its totient is φ = 1003002312.

The previous prime is 1003002307. The next prime is 1003002337. The reversal of 1003002313 is 3132003001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 952833424 + 50168889 = 30868^2 + 7083^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003002313 - 2⁵ = 1003002281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003002293 and 1003002302.

It is not a weakly prime, because it can be changed into another prime (1003002353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501501156 + 501501157.

It is an arithmetic number, because the mean of its divisors is an integer number (501501157).

Almost surely, 2^1003002313 is an apocalyptic number.

It is an amenable number.

1003002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003002313 is an equidigital number, since it uses as much as digits as its factorization.

1003002313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1003002313 is about 31670.2117612118. The cubic root of 1003002313 is about 1000.9997711246. Note that the first 3 decimals are identical.

Adding to 1003002313 its reverse (3132003001), we get a palindrome (4135005314).

The spelling of 1003002313 in words is "one billion, three million, two thousand, three hundred thirteen".