100000213312 has 56 divisors (see below), whose sum is σ = 199661754600. Its totient is φ = 49692303360.

The previous prime is 100000213309. The next prime is 100000213321. The reversal of 100000213312 is 213312000001.

It can be written as a sum of positive squares in 4 ways, for example, as 52852170816 + 47148042496 = 229896^2 + 217136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100000213292 and 100000213301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13222012 + ... + 13229572.

It is an arithmetic number, because the mean of its divisors is an integer number (3565388475).

Almost surely, 2^100000213312 is an apocalyptic number.

It is an amenable number.

100000213312 is a deficient number, since it is larger than the sum of its proper divisors (99661541288).

100000213312 is a wasteful number, since it uses less digits than its factorization.

100000213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8809 counting only the distinct ones).

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

Adding to 100000213312 its reverse (213312000001), we get a palindrome (313312213313).

The spelling of 100000213312 in words is "one hundred billion, two hundred thirteen thousand, three hundred twelve".