1000311013 has 4 divisors (see below), whose sum is σ = 1077258028. Its totient is φ = 923364000.

The previous prime is 1000310959. The next prime is 1000311017. The reversal of 1000311013 is 3101130001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3101130001 = 1931 ⋅1605971.

It can be written as a sum of positive squares in 2 ways, for example, as 130827844 + 869483169 = 11438^2 + 29487^2 .

It is not a de Polignac number, because 1000311013 - 2⁹ = 1000310501 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 (1000311017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38473488 + ... + 38473513.

It is an arithmetic number, because the mean of its divisors is an integer number (269314507).

Almost surely, 2^1000311013 is an apocalyptic number.

1000311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000311013 is a deficient number, since it is larger than the sum of its proper divisors (76947015).

1000311013 is an equidigital number, since it uses as much as digits as its factorization.

1000311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76947014.

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

The square root of 1000311013 is about 31627.6937666976. The cubic root of 1000311013 is about 1000.1036602542.

Adding to 1000311013 its reverse (3101130001), we get a palindrome (4101441014).

The spelling of 1000311013 in words is "one billion, three hundred eleven thousand, thirteen".