1003101313 has 2 divisors, whose sum is σ = 1003101314. Its totient is φ = 1003101312.

The previous prime is 1003101311. The next prime is 1003101343. The reversal of 1003101313 is 3131013001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 971381889 + 31719424 = 31167^2 + 5632^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003101313 - 2¹ = 1003101311 is a prime.

Together with 1003101311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1003101293 and 1003101302.

It is not a weakly prime, because it can be changed into another prime (1003101311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501550656 + 501550657.

It is an arithmetic number, because the mean of its divisors is an integer number (501550657).

Almost surely, 2^1003101313 is an apocalyptic number.

It is an amenable number.

1003101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003101313 is an equidigital number, since it uses as much as digits as its factorization.

1003101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1003101313 is about 31671.7747055639. The cubic root of 1003101313 is about 1001.0327041550.

Adding to 1003101313 its reverse (3131013001), we get a palindrome (4134114314).

The spelling of 1003101313 in words is "one billion, three million, one hundred one thousand, three hundred thirteen".