312213100330100 has 72 divisors (see below), whose sum is σ = 701048029663800. Its totient is φ = 120547291379200.

The previous prime is 312213100330097. The next prime is 312213100330123. The reversal of 312213100330100 is 1033001312213.

It can be written as a sum of positive squares in 12 ways, for example, as 1029599854864 + 311183500475236 = 1014692^2 + 17640394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3006995 + ... + 25168794.

It is an arithmetic number, because the mean of its divisors is an integer number (9736778189775).

Almost surely, 2^{312213100330100} is an apocalyptic number.

It is an amenable number.

312213100330100 is an abundant number, since it is smaller than the sum of its proper divisors (388834929333700).

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

312213100330100 is a wasteful number, since it uses less digits than its factorization.

312213100330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179653 (or 28179646 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312213100330100 its reverse (1033001312213), we get a palindrome (313246101642313).

The spelling of 312213100330100 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred million, three hundred thirty thousand, one hundred".