102000113320 has 256 divisors, whose sum is σ = 274794508800. Its totient is φ = 33354547200.

The previous prime is 102000113297. The next prime is 102000113359. The reversal of 102000113320 is 23311000201.

It is a self number, because there is not a number n which added to its sum of digits gives 102000113320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84928720 + ... + 84929920.

It is an arithmetic number, because the mean of its divisors is an integer number (1073416050).

Almost surely, 2^102000113320 is an apocalyptic number.

102000113320 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 102000113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137397254400).

102000113320 is an abundant number, since it is smaller than the sum of its proper divisors (172794395480).

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

102000113320 is a wasteful number, since it uses less digits than its factorization.

102000113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102000113320 its reverse (23311000201), we get a palindrome (125311113521).

The spelling of 102000113320 in words is "one hundred two billion, one hundred thirteen thousand, three hundred twenty".