1001310000 has 100 divisors (see below), whose sum is σ = 3232459032. Its totient is φ = 267008000.

The previous prime is 1001309989. The next prime is 1001310001. The reversal of 1001310000 is 131001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1001310000² = 2005243432200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1001310001) 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 19 ways as a sum of consecutive naturals, for example, 13312 + ... + 46688.

Almost surely, 2^1001310000 is an apocalyptic number.

1001310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616229516).

1001310000 is an abundant number, since it is smaller than the sum of its proper divisors (2231149032).

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

1001310000 is an equidigital number, since it uses as much as digits as its factorization.

1001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33408 (or 33387 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1001310000 is about 31643.4827413166. The cubic root of 1001310000 is about 1000.4364761275.

Adding to 1001310000 its reverse (131001), we get a palindrome (1001441001).

The spelling of 1001310000 in words is "one billion, one million, three hundred ten thousand".