1000333002000 has 160 divisors (see below), whose sum is σ = 3225678079104. Its totient is φ = 266705472000.

The previous prime is 1000333001999. The next prime is 1000333002001. The reversal of 1000333002000 is 2003330001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000333001999) and next prime (1000333002001).

It is a super-2 number, since 2×1000333002000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000333002001) 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, 40949790 + ... + 40974210.

Almost surely, 2^{1000333002000} is an apocalyptic number.

1000333002000 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 1000333002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612839039552).

1000333002000 is an abundant number, since it is smaller than the sum of its proper divisors (2225345077104).

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

1000333002000 is a wasteful number, since it uses less digits than its factorization.

1000333002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31274 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 1000333002000 its reverse (2003330001), we get a palindrome (1002336332001).

The spelling of 1000333002000 in words is "one trillion, three hundred thirty-three million, two thousand".