1001310013 has 32 divisors (see below), whose sum is σ = 1256878080. Its totient is φ = 785376000.

The previous prime is 1001310007. The next prime is 1001310019. The reversal of 1001310013 is 3100131001.

It is an interprime number because it is at equal distance from previous prime (1001310007) and next prime (1001310019).

It is a cyclic number.

It is not a de Polignac number, because 1001310013 - 2⁹ = 1001309501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001310019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105598 + ... + 114688.

It is an arithmetic number, because the mean of its divisors is an integer number (39277440).

Almost surely, 2^1001310013 is an apocalyptic number.

It is an amenable number.

1001310013 is a deficient number, since it is larger than the sum of its proper divisors (255568067).

1001310013 is a wasteful number, since it uses less digits than its factorization.

1001310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1001310013 is about 31643.4829467301. The cubic root of 1001310013 is about 1000.4364804571.

Adding to 1001310013 its reverse (3100131001), we get a palindrome (4101441014).

It can be divided in two parts, 100131001 and 3, that multiplied together give a palindrome (300393003).

The spelling of 1001310013 in words is "one billion, one million, three hundred ten thousand, thirteen".