330311000212314 has 128 divisors (see below), whose sum is σ = 763263528394752. Its totient is φ = 94309984443840.

The previous prime is 330311000212309. The next prime is 330311000212327. The reversal of 330311000212314 is 413212000113033.

It is a super-2 number, since 2×330311000212314² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5014784809 + ... + 5014850675.

It is an arithmetic number, because the mean of its divisors is an integer number (5962996315584).

Almost surely, 2^{330311000212314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330311000212314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381631764197376).

330311000212314 is an abundant number, since it is smaller than the sum of its proper divisors (432952528182438).

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

330311000212314 is a wasteful number, since it uses less digits than its factorization.

330311000212314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115280.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 330311000212314 its reverse (413212000113033), we get a palindrome (743523000325347).

The spelling of 330311000212314 in words is "three hundred thirty trillion, three hundred eleven billion, two hundred twelve thousand, three hundred fourteen".