331330330320000 has 1280 divisors, whose sum is σ = 1216047720666240. Its totient is φ = 79237120000000.

The previous prime is 331330330319981. The next prime is 331330330320023. The reversal of 331330330320000 is 23033033133.

It is a happy number.

It is a super-2 number, since 2×331330330320000² (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 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 159 ways as a sum of consecutive naturals, for example, 78125517880 + ... + 78125522120.

Almost surely, 2^{331330330320000} is an apocalyptic number.

331330330320000 is a gapful number since it is divisible by the number (30) 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 331330330320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608023860333120).

331330330320000 is an abundant number, since it is smaller than the sum of its proper divisors (884717390346240).

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

331330330320000 is a wasteful number, since it uses less digits than its factorization.

331330330320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 331330330320000 its reverse (23033033133), we get a palindrome (331353363353133).

The spelling of 331330330320000 in words is "three hundred thirty-one trillion, three hundred thirty billion, three hundred thirty million, three hundred twenty thousand".