312001113341020 has 96 divisors (see below), whose sum is σ = 687190986288576. Its totient is φ = 118855859404800.

The previous prime is 312001113341017. The next prime is 312001113341129. The reversal of 312001113341020 is 20143311100213.

It is a junction number, because it is equal to n+sod(n) for n = 312001113340982 and 312001113341000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58111692 + ... + 63253228.

It is an arithmetic number, because the mean of its divisors is an integer number (7158239440506).

Almost surely, 2^{312001113341020} 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 312001113341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343595493144288).

312001113341020 is an abundant number, since it is smaller than the sum of its proper divisors (375189872947556).

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

312001113341020 is a wasteful number, since it uses less digits than its factorization.

312001113341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143351 (or 5143349 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 312001113341020 its reverse (20143311100213), we get a palindrome (332144424441233).

The spelling of 312001113341020 in words is "three hundred twelve trillion, one billion, one hundred thirteen million, three hundred forty-one thousand, twenty".