100313312 has 96 divisors (see below), whose sum is σ = 231880320. Its totient is φ = 42232320.

The previous prime is 100313287. The next prime is 100313321. The reversal of 100313312 is 213313001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354323 + ... + 354605.

It is an arithmetic number, because the mean of its divisors is an integer number (2415420).

Almost surely, 2^100313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940160).

100313312 is an abundant number, since it is smaller than the sum of its proper divisors (131567008).

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

100313312 is a wasteful number, since it uses less digits than its factorization.

100313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 100313312 is about 10015.6533486338. The cubic root of 100313312 is about 464.6431331355.

Adding to 100313312 its reverse (213313001), we get a palindrome (313626313).

The spelling of 100313312 in words is "one hundred million, three hundred thirteen thousand, three hundred twelve".