1023200330320 has 320 divisors, whose sum is σ = 2795318231040. Its totient is φ = 341091938304.

The previous prime is 1023200330279. The next prime is 1023200330323. The reversal of 1023200330320 is 230330023201.

It is a happy number.

1023200330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1023200330320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023200330323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685667457 + ... + 1685668063.

It is an arithmetic number, because the mean of its divisors is an integer number (8735369472).

Almost surely, 2^{1023200330320} is an apocalyptic number.

1023200330320 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 1023200330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397659115520).

1023200330320 is an abundant number, since it is smaller than the sum of its proper divisors (1772117900720).

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

1023200330320 is a wasteful number, since it uses less digits than its factorization.

1023200330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

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

Adding to 1023200330320 its reverse (230330023201), we get a palindrome (1253530353521).

The spelling of 1023200330320 in words is "one trillion, twenty-three billion, two hundred million, three hundred thirty thousand, three hundred twenty".