1020323002320 has 240 divisors, whose sum is σ = 3520500544080. Its totient is φ = 264634269696.

The previous prime is 1020323002313. The next prime is 1020323002327. The reversal of 1020323002320 is 232003230201.

It is a happy number.

1020323002320 is a `hidden beast` number, since 1 + 0 + 20 + 323 + 0 + 0 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1020323002313) and next prime (1020323002327).

It can be written as a sum of positive squares in 8 ways, for example, as 159814453824 + 860508548496 = 399768^2 + 927636^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020323002293 and 1020323002302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020323002327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96351586 + ... + 96362174.

It is an arithmetic number, because the mean of its divisors is an integer number (14668752267).

Almost surely, 2^{1020323002320} is an apocalyptic number.

1020323002320 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 1020323002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760250272040).

1020323002320 is an abundant number, since it is smaller than the sum of its proper divisors (2500177541760).

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

1020323002320 is a wasteful number, since it uses less digits than its factorization.

1020323002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1020323002320 its reverse (232003230201), we get a palindrome (1252326232521).

The spelling of 1020323002320 in words is "one trillion, twenty billion, three hundred twenty-three million, two thousand, three hundred twenty".