1023330000000 has 1024 divisors, whose sum is σ = 4245739130880. Its totient is φ = 212160000000.

The previous prime is 1023329999957. The next prime is 1023330000029. The reversal of 1023330000000 is 333201.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2309999779 + ... + 2310000221.

It is an arithmetic number, because the mean of its divisors is an integer number (4146229620).

Almost surely, 2^{1023330000000} is an apocalyptic number.

1023330000000 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 1023330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122869565440).

1023330000000 is an abundant number, since it is smaller than the sum of its proper divisors (3222409130880).

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

1023330000000 is an frugal number, since it uses more digits than its factorization.

1023330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 471 counting only the distinct ones).

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

Adding to 1023330000000 its reverse (333201), we get a palindrome (1023330333201).

The spelling of 1023330000000 in words is "one trillion, twenty-three billion, three hundred thirty million", and thus it is an aban number.