3000133131120 has 60 divisors (see below), whose sum is σ = 10075447101096. Its totient is φ = 800035501440.

The previous prime is 3000133131019. The next prime is 3000133131179. The reversal of 3000133131120 is 211313310003.

It is a happy number.

3000133131120 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 1 + 331 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3000133131120² (a number of 26 digits) contains 22 as substring.

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 = 3000133131093 and 3000133131102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2083425066 + ... + 2083426505.

Almost surely, 2^{3000133131120} is an apocalyptic number.

3000133131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000133131120 is an abundant number, since it is smaller than the sum of its proper divisors (7075313969976).

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

3000133131120 is a wasteful number, since it uses less digits than its factorization.

3000133131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166851590 (or 4166851581 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3000133131120 its reverse (211313310003), we get a palindrome (3211446441123).

It can be divided in two parts, 3000133 and 131120, that added together give a triangular number (3131253 = T₂₅₀₂).

The spelling of 3000133131120 in words is "three trillion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred twenty".