1000330023000 has 1024 divisors, whose sum is σ = 3982425108480. Its totient is φ = 203046912000.

The previous prime is 1000330022999. The next prime is 1000330023029. The reversal of 1000330023000 is 3200330001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2310230784 + ... + 2310231216.

It is an arithmetic number, because the mean of its divisors is an integer number (3889087020).

Almost surely, 2^{1000330023000} is an apocalyptic number.

1000330023000 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 1000330023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991212554240).

1000330023000 is an abundant number, since it is smaller than the sum of its proper divisors (2982095085480).

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

1000330023000 is a wasteful number, since it uses less digits than its factorization.

1000330023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

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

Adding to 1000330023000 its reverse (3200330001), we get a palindrome (1003530353001).

It can be divided in two parts, 10003 and 30023000, that added together give a palindrome (30033003).

The spelling of 1000330023000 in words is "one trillion, three hundred thirty million, twenty-three thousand".