100320213312 has 504 divisors, whose sum is σ = 332009496000. Its totient is φ = 30008309760.

The previous prime is 100320213251. The next prime is 100320213317. The reversal of 100320213312 is 213312023001.

100320213312 is a `hidden beast` number, since 10 + 0 + 320 + 2 + 1 + 331 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320213317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167479189 + ... + 167479787.

It is an arithmetic number, because the mean of its divisors is an integer number (658749000).

Almost surely, 2^100320213312 is an apocalyptic number.

100320213312 is a gapful number since it is divisible by the number (12) 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 100320213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004748000).

100320213312 is an abundant number, since it is smaller than the sum of its proper divisors (231689282688).

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

100320213312 is an equidigital number, since it uses as much as digits as its factorization.

100320213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 704 counting only the distinct ones).

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

Adding to 100320213312 its reverse (213312023001), we get a palindrome (313632236313).

The spelling of 100320213312 in words is "one hundred billion, three hundred twenty million, two hundred thirteen thousand, three hundred twelve".