1000313001 has 6 divisors (see below), whose sum is σ = 1444896570. Its totient is φ = 666875328.

The previous prime is 1000312967. The next prime is 1000313009. The reversal of 1000313001 is 1003130001.

It can be written as a sum of positive squares in only one way, i.e., 999824400 + 488601 = 31620^2 + 699^2 .

It is not a de Polignac number, because 1000313001 - 2²¹ = 998215849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111145889 = 1000313001 / (1 + 0 + 0 + 0 + 3 + 1 + 3 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1000313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55572936 + ... + 55572953.

It is an arithmetic number, because the mean of its divisors is an integer number (240816095).

Almost surely, 2^1000313001 is an apocalyptic number.

It is an amenable number.

1000313001 is a deficient number, since it is larger than the sum of its proper divisors (444583569).

1000313001 is a wasteful number, since it uses less digits than its factorization.

1000313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111145895 (or 111145892 counting only the distinct ones).

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

The square root of 1000313001 is about 31627.7251948350. The cubic root of 1000313001 is about 1000.1043227830.

Adding to 1000313001 its reverse (1003130001), we get a palindrome (2003443002).

The spelling of 1000313001 in words is "one billion, three hundred thirteen thousand, one".