331201313300312 has 128 divisors (see below), whose sum is σ = 809421689341440. Its totient is φ = 123294272808960.

The previous prime is 331201313300311. The next prime is 331201313300321. The reversal of 331201313300312 is 213003313102133.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201313300311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63671987 + ... + 68676957.

It is an arithmetic number, because the mean of its divisors is an integer number (6323606947980).

Almost surely, 2^{331201313300312} 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 331201313300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404710844670720).

331201313300312 is an abundant number, since it is smaller than the sum of its proper divisors (478220376041128).

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

331201313300312 is a wasteful number, since it uses less digits than its factorization.

331201313300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010361 (or 5010357 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 331201313300312 its reverse (213003313102133), we get a palindrome (544204626402445).

The spelling of 331201313300312 in words is "three hundred thirty-one trillion, two hundred one billion, three hundred thirteen million, three hundred thousand, three hundred twelve".