1000003331000 has 128 divisors (see below), whose sum is σ = 2400743966400. Its totient is φ = 389739212800.

The previous prime is 1000003330957. The next prime is 1000003331003. The reversal of 1000003331000 is 1333000001.

It is a super-2 number, since 2×1000003331000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000003331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6592004 + ... + 6741996.

Almost surely, 2^{1000003331000} is an apocalyptic number.

1000003331000 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 1000003331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200371983200).

1000003331000 is an abundant number, since it is smaller than the sum of its proper divisors (1400740635400).

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

1000003331000 is a wasteful number, since it uses less digits than its factorization.

1000003331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150186 (or 150172 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 1000003331000 its reverse (1333000001), we get a palindrome (1001336331001).

The spelling of 1000003331000 in words is "one trillion, three million, three hundred thirty-one thousand".