10130013330120 has 96 divisors (see below), whose sum is σ = 32959913870520. Its totient is φ = 2698270586880.

The previous prime is 10130013330001. The next prime is 10130013330133. The reversal of 10130013330120 is 2103331003101.

It is a happy number.

10130013330120 is a `hidden beast` number, since 1 + 0 + 1 + 300 + 13 + 330 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4969056223044 + 5160957107076 = 2229138^2 + 2271774^2 .

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 = 10130013330093 and 10130013330102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15652719 + ... + 16287038.

Almost surely, 2^{10130013330120} is an apocalyptic number.

10130013330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130013330120 is an abundant number, since it is smaller than the sum of its proper divisors (22829900540400).

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

10130013330120 is a wasteful number, since it uses less digits than its factorization.

10130013330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31940655 (or 31940648 counting only the distinct ones).

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

Adding to 10130013330120 its reverse (2103331003101), we get a palindrome (12233344333221).

The spelling of 10130013330120 in words is "ten trillion, one hundred thirty billion, thirteen million, three hundred thirty thousand, one hundred twenty".