330000133000320 has 128 divisors (see below), whose sum is σ = 1168750471104000. Its totient is φ = 88000035462144.

The previous prime is 330000133000231. The next prime is 330000133000379. The reversal of 330000133000320 is 23000331000033.

330000133000320 is a `hidden beast` number, since 3 + 30 + 0 + 0 + 0 + 13 + 300 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330000133000293 and 330000133000302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9548597680 + ... + 9548632239.

It is an arithmetic number, because the mean of its divisors is an integer number (9130863055500).

Almost surely, 2^{330000133000320} is an apocalyptic number.

330000133000320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330000133000320 is an abundant number, since it is smaller than the sum of its proper divisors (838750338103680).

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

330000133000320 is a wasteful number, since it uses less digits than its factorization.

330000133000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19097229947 (or 19097229929 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330000133000320 its reverse (23000331000033), we get a palindrome (353000464000353).

The spelling of 330000133000320 in words is "three hundred thirty trillion, one hundred thirty-three million, three hundred twenty", and thus it is an aban number.