100213312 has 14 divisors (see below), whose sum is σ = 198860918. Its totient is φ = 50106624.

The previous prime is 100213303. The next prime is 100213313. The reversal of 100213312 is 213312001.

It can be written as a sum of positive squares in only one way, i.e., 80712256 + 19501056 = 8984^2 + 4416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100213292 and 100213301.

It is not an unprimeable number, because it can be changed into a prime (100213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782853 + ... + 782980.

Almost surely, 2^100213312 is an apocalyptic number.

It is an amenable number.

100213312 is a deficient number, since it is larger than the sum of its proper divisors (98647606).

100213312 is an equidigital number, since it uses as much as digits as its factorization.

100213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565845 (or 1565835 counting only the distinct ones).

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

The square root of 100213312 is about 10010.6599183071. The cubic root of 100213312 is about 464.4886845029.

Adding to 100213312 its reverse (213312001), we get a palindrome (313525313).

The spelling of 100213312 in words is "one hundred million, two hundred thirteen thousand, three hundred twelve".