100311313212 has 72 divisors (see below), whose sum is σ = 288642856320. Its totient is φ = 29075740320.

The previous prime is 100311313199. The next prime is 100311313231. The reversal of 100311313212 is 212313113001.

100311313212 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 31 + 321 + 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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5497662 + ... + 5515877.

It is an arithmetic number, because the mean of its divisors is an integer number (4008928560).

Almost surely, 2^100311313212 is an apocalyptic number.

100311313212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100311313212 is an abundant number, since it is smaller than the sum of its proper divisors (188331543108).

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

100311313212 is a wasteful number, since it uses less digits than its factorization.

100311313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013583 (or 11013578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100311313212 its reverse (212313113001), we get a palindrome (312624426213).

The spelling of 100311313212 in words is "one hundred billion, three hundred eleven million, three hundred thirteen thousand, two hundred twelve".