313213230301312 has 128 divisors (see below), whose sum is σ = 699262042423680. Its totient is φ = 138490173849600.

The previous prime is 313213230301267. The next prime is 313213230301327. The reversal of 313213230301312 is 213103032312313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228068928 + ... + 229438144.

It is an arithmetic number, because the mean of its divisors is an integer number (5462984706435).

Almost surely, 2^{313213230301312} is an apocalyptic number.

313213230301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313213230301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349631021211840).

313213230301312 is an abundant number, since it is smaller than the sum of its proper divisors (386048812122368).

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

313213230301312 is a wasteful number, since it uses less digits than its factorization.

313213230301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373670 (or 1373658 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 313213230301312 its reverse (213103032312313), we get a palindrome (526316262613625).

The spelling of 313213230301312 in words is "three hundred thirteen trillion, two hundred thirteen billion, two hundred thirty million, three hundred one thousand, three hundred twelve".