330030042113000 has 128 divisors (see below), whose sum is σ = 828899308242720. Its totient is φ = 122544595353600.

The previous prime is 330030042112997. The next prime is 330030042113053. The reversal of 330030042113000 is 311240030033.

It can be written as a sum of positive squares in 16 ways, for example, as 2514082963396 + 327515959149604 = 1585586^2 + 18097402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131728397 + ... + 134210396.

Almost surely, 2^{330030042113000} is an apocalyptic number.

It is an amenable number.

330030042113000 is an abundant number, since it is smaller than the sum of its proper divisors (498869266129720).

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

330030042113000 is a wasteful number, since it uses less digits than its factorization.

330030042113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265938904 (or 265938890 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330030042113000 its reverse (311240030033), we get a palindrome (330341282143033).

The spelling of 330030042113000 in words is "three hundred thirty trillion, thirty billion, forty-two million, one hundred thirteen thousand".