312100320100 has 18 divisors (see below), whose sum is σ = 677257694834. Its totient is φ = 124840128000.

The previous prime is 312100320067. The next prime is 312100320107. The reversal of 312100320100 is 1023001213.

It can be written as a sum of positive squares in 3 ways, for example, as 110621429604 + 201478890496 = 332598^2 + 448864^2 .

It is not an unprimeable number, because it can be changed into a prime (312100320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1560501501 + ... + 1560501700.

Almost surely, 2^312100320100 is an apocalyptic number.

It is an amenable number.

312100320100 is an abundant number, since it is smaller than the sum of its proper divisors (365157374734).

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

312100320100 is a wasteful number, since it uses less digits than its factorization.

312100320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121003215 (or 3121003208 counting only the distinct ones).

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

Adding to 312100320100 its reverse (1023001213), we get a palindrome (313123321313).

The spelling of 312100320100 in words is "three hundred twelve billion, one hundred million, three hundred twenty thousand, one hundred".