102320311320 has 224 divisors, whose sum is σ = 346002703200. Its totient is φ = 27219856896.

The previous prime is 102320311319. The next prime is 102320311403. The reversal of 102320311320 is 23113023201.

102320311320 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 0 + 311 + 320 = 666.

It is a super-2 number, since 2×102320311320² (a number of 23 digits) contains 22 as substring.

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 = 102320311293 and 102320311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12797244 + ... + 12805236.

It is an arithmetic number, because the mean of its divisors is an integer number (1544654925).

Almost surely, 2^102320311320 is an apocalyptic number.

102320311320 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 102320311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173001351600).

102320311320 is an abundant number, since it is smaller than the sum of its proper divisors (243682391880).

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

102320311320 is an equidigital number, since it uses as much as digits as its factorization.

102320311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102320311320 its reverse (23113023201), we get a palindrome (125433334521).

The spelling of 102320311320 in words is "one hundred two billion, three hundred twenty million, three hundred eleven thousand, three hundred twenty".