102320213320 has 128 divisors (see below), whose sum is σ = 251324771040. Its totient is φ = 37265080320.

The previous prime is 102320213299. The next prime is 102320213371. The reversal of 102320213320 is 23312023201.

It can be written as a sum of positive squares in 16 ways, for example, as 85266756 + 102234946564 = 9234^2 + 319742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15784480 + ... + 15790960.

Almost surely, 2^102320213320 is an apocalyptic number.

102320213320 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 102320213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125662385520).

102320213320 is an abundant number, since it is smaller than the sum of its proper divisors (149004557720).

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

102320213320 is a wasteful number, since it uses less digits than its factorization.

102320213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102320213320 its reverse (23312023201), we get a palindrome (125632236521).

The spelling of 102320213320 in words is "one hundred two billion, three hundred twenty million, two hundred thirteen thousand, three hundred twenty".