1001001331 has 32 divisors (see below), whose sum is σ = 1170796032. Its totient is φ = 846869760.

The previous prime is 1001001329. The next prime is 1001001349. The reversal of 1001001331 is 1331001001.

It is not a de Polignac number, because 1001001331 - 2¹ = 1001001329 is a prime.

It is a super-2 number, since 2×1001001331² = 2004007329327543122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001001311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532601 + ... + 1533253.

It is an arithmetic number, because the mean of its divisors is an integer number (36587376).

Almost surely, 2^1001001331 is an apocalyptic number.

1001001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001001331 is a deficient number, since it is larger than the sum of its proper divisors (169794701).

1001001331 is a wasteful number, since it uses less digits than its factorization.

1001001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843.

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

The square root of 1001001331 is about 31638.6050735490. The cubic root of 1001001331 is about 1000.3336656548. Note that the first 3 decimals are identical.

Adding to 1001001331 its reverse (1331001001), we get a palindrome (2332002332).

The spelling of 1001001331 in words is "one billion, one million, one thousand, three hundred thirty-one".