1020324232321 has 9 divisors (see below), whose sum is σ = 1026787984131. Its totient is φ = 1013900936472.

The previous prime is 1020324232259. The next prime is 1020324232331. The reversal of 1020324232321 is 1232324230201.

The square root of 1020324232321 is 1010111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 401011895025 + 619312337296 = 633255^2 + 786964^2 .

It is not a de Polignac number, because 1020324232321 - 2²⁹ = 1019787361409 is a prime.

It is a super-2 number, since 2×1020324232321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020324232331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164644995 + ... + 164651191.

Almost surely, 2^{1020324232321} is an apocalyptic number.

1020324232321 is the 1010111-st square number.

1020324232321 is the 505056-th centered octagonal number.

It is an amenable number.

1020324232321 is a deficient number, since it is larger than the sum of its proper divisors (6463751810).

1020324232321 is an frugal number, since it uses more digits than its factorization.

1020324232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Multiplying 1020324232321 by its sum of digits (25), we get a square (25508105808025 = 5050555²).

Adding to 1020324232321 its reverse (1232324230201), we get a palindrome (2252648462522).

The spelling of 1020324232321 in words is "one trillion, twenty billion, three hundred twenty-four million, two hundred thirty-two thousand, three hundred twenty-one".