3301210131120 has 480 divisors, whose sum is σ = 12227091701760. Its totient is φ = 791554498560.

The previous prime is 3301210131113. The next prime is 3301210131139. The reversal of 3301210131120 is 211310121033.

3301210131120 is a `hidden beast` number, since 3 + 301 + 210 + 1 + 31 + 120 = 666.

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 = 3301210131093 and 3301210131102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338963211 + ... + 338972949.

It is an arithmetic number, because the mean of its divisors is an integer number (25473107712).

Almost surely, 2^{3301210131120} is an apocalyptic number.

3301210131120 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 3301210131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113545850880).

3301210131120 is an abundant number, since it is smaller than the sum of its proper divisors (8925881570640).

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

3301210131120 is a wasteful number, since it uses less digits than its factorization.

3301210131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10224 counting only the distinct ones).

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

Adding to 3301210131120 its reverse (211310121033), we get a palindrome (3512520252153).

The spelling of 3301210131120 in words is "three trillion, three hundred one billion, two hundred ten million, one hundred thirty-one thousand, one hundred twenty".