331000013313312 has 384 divisors, whose sum is σ = 1038289993574400. Its totient is φ = 90332900130816.

The previous prime is 331000013313311. The next prime is 331000013313337. The reversal of 331000013313312 is 213313310000133.

It is a super-2 number, since 2×331000013313312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (331000013313311) 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, 766383568 + ... + 766815344.

It is an arithmetic number, because the mean of its divisors is an integer number (2703880191600).

Almost surely, 2^{331000013313312} is an apocalyptic number.

331000013313312 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 331000013313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519144996787200).

331000013313312 is an abundant number, since it is smaller than the sum of its proper divisors (707289980261088).

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

331000013313312 is a wasteful number, since it uses less digits than its factorization.

331000013313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432248 (or 432240 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 331000013313312 its reverse (213313310000133), we get a palindrome (544313323313445).

The spelling of 331000013313312 in words is "three hundred thirty-one trillion, thirteen million, three hundred thirteen thousand, three hundred twelve".