1000313010 has 128 divisors (see below), whose sum is σ = 2820096000. Its totient is φ = 251798976.

The previous prime is 1000313009. The next prime is 1000313011. The reversal of 1000313010 is 103130001.

It is an interprime number because it is at equal distance from previous prime (1000313009) and next prime (1000313011).

It is a super-2 number, since 2×1000313010² = 2001252235950520200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000312983 and 1000313001.

It is not an unprimeable number, because it can be changed into a prime (1000313011) 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 63 ways as a sum of consecutive naturals, for example, 489571 + ... + 491609.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 2^1000313010 is an apocalyptic number.

1000313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048000).

1000313010 is an abundant number, since it is smaller than the sum of its proper divisors (1819782990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000313010 is a wasteful number, since it uses less digits than its factorization.

1000313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

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

The square root of 1000313010 is about 31627.7253371152. The cubic root of 1000313010 is about 1000.1043257824.

Adding to 1000313010 its reverse (103130001), we get a palindrome (1103443011).

It can be divided in two parts, 100031 and 3010, that added together give a square (103041 = 321²).

The spelling of 1000313010 in words is "one billion, three hundred thirteen thousand, ten".