1023323013120 has 432 divisors, whose sum is σ = 3480508262448. Its totient is φ = 256691404800.

The previous prime is 1023323013109. The next prime is 1023323013127. The reversal of 1023323013120 is 213103233201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023323013127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568196220 + ... + 568198020.

It is an arithmetic number, because the mean of its divisors is an integer number (8056732089).

Almost surely, 2^{1023323013120} is an apocalyptic number.

1023323013120 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 1023323013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740254131224).

1023323013120 is an abundant number, since it is smaller than the sum of its proper divisors (2457185249328).

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

1023323013120 is an frugal number, since it uses more digits than its factorization.

1023323013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023323013120 its reverse (213103233201), we get a palindrome (1236426246321).

The spelling of 1023323013120 in words is "one trillion, twenty-three billion, three hundred twenty-three million, thirteen thousand, one hundred twenty".