100312001312 has 48 divisors (see below), whose sum is σ = 205428295800. Its totient is φ = 48158853120.

The previous prime is 100312001297. The next prime is 100312001381. The reversal of 100312001312 is 213100213001.

It can be written as a sum of positive squares in 4 ways, for example, as 86975447056 + 13336554256 = 294916^2 + 115484^2 .

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 7 ways as a sum of consecutive naturals, for example, 130637 + ... + 466572.

Almost surely, 2^100312001312 is an apocalyptic number.

It is an amenable number.

100312001312 is an abundant number, since it is smaller than the sum of its proper divisors (105116294488).

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

100312001312 is a wasteful number, since it uses less digits than its factorization.

100312001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597429 (or 597421 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100312001312 its reverse (213100213001), we get a palindrome (313412214313).

The spelling of 100312001312 in words is "one hundred billion, three hundred twelve million, one thousand, three hundred twelve".