1000333000000 has 98 divisors (see below), whose sum is σ = 2481265465958. Its totient is φ = 400132800000.

The previous prime is 1000332999983. The next prime is 1000333000003. The reversal of 1000333000000 is 3330001.

It is a happy number.

1000333000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 997985016064 + 2347983936 = 998992^2 + 48456^2 .

It is a super-2 number, since 2×1000333000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000333000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499834 + ... + 1500166.

Almost surely, 2^{1000333000000} is an apocalyptic number.

1000333000000 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 1000333000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240632732979).

1000333000000 is an abundant number, since it is smaller than the sum of its proper divisors (1480932465958).

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

1000333000000 is an frugal number, since it uses more digits than its factorization.

1000333000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000375 (or 1000340 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

Adding to 1000333000000 its reverse (3330001), we get a palindrome (1000336330001).

The spelling of 1000333000000 in words is "one trillion, three hundred thirty-three million", and thus it is an aban number.