313312021000132 has 192 divisors, whose sum is σ = 744587898163200. Its totient is φ = 111626108536320.

The previous prime is 313312021000093. The next prime is 313312021000133. The reversal of 313312021000132 is 231000120213313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (313312021000133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614597298 + ... + 615106870.

It is an arithmetic number, because the mean of its divisors is an integer number (3878061969600).

Almost surely, 2^{313312021000132} 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 313312021000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372293949081600).

313312021000132 is an abundant number, since it is smaller than the sum of its proper divisors (431275877163068).

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

313312021000132 is a wasteful number, since it uses less digits than its factorization.

313312021000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513266 (or 513264 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313312021000132 its reverse (231000120213313), we get a palindrome (544312141213445).

The spelling of 313312021000132 in words is "three hundred thirteen trillion, three hundred twelve billion, twenty-one million, one hundred thirty-two", and thus it is an aban number.