1020323332000 has 768 divisors, whose sum is σ = 3200915128320. Its totient is φ = 311579136000.

The previous prime is 1020323331967. The next prime is 1020323332079. The reversal of 1020323332000 is 2333230201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 746395317 + ... + 746396683.

It is an arithmetic number, because the mean of its divisors is an integer number (4167858240).

Almost surely, 2^{1020323332000} is an apocalyptic number.

1020323332000 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 1020323332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600457564160).

1020323332000 is an abundant number, since it is smaller than the sum of its proper divisors (2180591796320).

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

1020323332000 is a wasteful number, since it uses less digits than its factorization.

1020323332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 1020323332000 its reverse (2333230201), we get a palindrome (1022656562201).

The spelling of 1020323332000 in words is "one trillion, twenty billion, three hundred twenty-three million, three hundred thirty-two thousand".