1000301313 has 24 divisors (see below), whose sum is σ = 1501784928. Its totient is φ = 591448000.

The previous prime is 1000301299. The next prime is 1000301353. The reversal of 1000301313 is 3131030001.

It is not a de Polignac number, because 1000301313 - 2¹³ = 1000293121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000301353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18723 + ... + 48488.

It is an arithmetic number, because the mean of its divisors is an integer number (62574372).

Almost surely, 2^1000301313 is an apocalyptic number.

It is an amenable number.

1000301313 is a deficient number, since it is larger than the sum of its proper divisors (501483615).

1000301313 is a wasteful number, since it uses less digits than its factorization.

1000301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67277 (or 67266 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1000301313 is about 31627.5404197038. The cubic root of 1000301313 is about 1000.1004275806.

Adding to 1000301313 its reverse (3131030001), we get a palindrome (4131331314).

The spelling of 1000301313 in words is "one billion, three hundred one thousand, three hundred thirteen".