330313212331000 has 128 divisors (see below), whose sum is σ = 782334513192960. Its totient is φ = 130518537360000.

The previous prime is 330313212330973. The next prime is 330313212331009. The reversal of 330313212331000 is 133212313033.

It is a super-2 number, since 2×330313212331000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313212331009) 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, 742710697 + ... + 743155303.

It is an arithmetic number, because the mean of its divisors is an integer number (6111988384320).

Almost surely, 2^{330313212331000} 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 330313212331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391167256596480).

330313212331000 is an abundant number, since it is smaller than the sum of its proper divisors (452021300861960).

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

330313212331000 is a wasteful number, since it uses less digits than its factorization.

330313212331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453662 (or 453648 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 330313212331000 its reverse (133212313033), we get a palindrome (330446424644033).

The spelling of 330313212331000 in words is "three hundred thirty trillion, three hundred thirteen billion, two hundred twelve million, three hundred thirty-one thousand".