1001331000 has 384 divisors, whose sum is σ = 3625090560. Its totient is φ = 248832000.

The previous prime is 1001330977. The next prime is 1001331029. The reversal of 1001331000 is 1331001.

It is a super-2 number, since 2×1001331000² = 2005327543122000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10322952 + ... + 10323048.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2^1001331000 is an apocalyptic number.

1001331000 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 1001331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812545280).

1001331000 is an abundant number, since it is smaller than the sum of its proper divisors (2623759560).

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

1001331000 is a wasteful number, since it uses less digits than its factorization.

1001331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

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

The square root of 1001331000 is about 31643.8145614589. The cubic root of 1001331000 is about 1000.4434699720.

Adding to 1001331000 its reverse (1331001), we get a palindrome (1002662001).

Subtracting from 1001331000 its reverse (1331001), we obtain a palindrome (999999999).

The spelling of 1001331000 in words is "one billion, one million, three hundred thirty-one thousand".