330131002101120 has 192 divisors, whose sum is σ = 1243618491108240. Its totient is φ = 80031758069760.

The previous prime is 330131002101101. The next prime is 330131002101167. The reversal of 330131002101120 is 21101200131033.

330131002101120 is a `hidden beast` number, since 3 + 30 + 1 + 310 + 0 + 210 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 330131002101093 and 330131002101102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605137099 + ... + 2605263818.

Almost surely, 2^{330131002101120} is an apocalyptic number.

330131002101120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330131002101120 is an abundant number, since it is smaller than the sum of its proper divisors (913487489007120).

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

330131002101120 is a wasteful number, since it uses less digits than its factorization.

330131002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210400953 (or 5210400938 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 330131002101120 its reverse (21101200131033), we get a palindrome (351232202232153).

The spelling of 330131002101120 in words is "three hundred thirty trillion, one hundred thirty-one billion, two million, one hundred one thousand, one hundred twenty".