330230302001100 has 216 divisors, whose sum is σ = 1050480574940160. Its totient is φ = 86753839536000.

The previous prime is 330230302000981. The next prime is 330230302001113. The reversal of 330230302001100 is 1100203032033.

330230302001100 is a `hidden beast` number, since 3 + 30 + 230 + 302 + 0 + 0 + 1 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80493381 + ... + 84496419.

Almost surely, 2^{330230302001100} is an apocalyptic number.

330230302001100 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 330230302001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525240287470080).

330230302001100 is an abundant number, since it is smaller than the sum of its proper divisors (720250272939060).

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

330230302001100 is a wasteful number, since it uses less digits than its factorization.

330230302001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004421 (or 4004411 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330230302001100 its reverse (1100203032033), we get a palindrome (331330505033133).

The spelling of 330230302001100 in words is "three hundred thirty trillion, two hundred thirty billion, three hundred two million, one thousand, one hundred".