130440012010020 has 72 divisors (see below), whose sum is σ = 397676503728504. Its totient is φ = 34607434649088.

The previous prime is 130440012009973. The next prime is 130440012010051. The reversal of 130440012010020 is 20010210044031.

130440012010020 is a `hidden beast` number, since 1 + 3 + 0 + 440 + 0 + 1 + 201 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15171788429604 + 115268223580416 = 3895098^2 + 10736304^2 .

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 = 130440012009975 and 130440012010002.

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, 1839220209 + ... + 1839291128.

It is an arithmetic number, because the mean of its divisors is an integer number (5523284774007).

Almost surely, 2^{130440012010020} is an apocalyptic number.

130440012010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440012010020 is an abundant number, since it is smaller than the sum of its proper divisors (267236491718484).

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

130440012010020 is a wasteful number, since it uses less digits than its factorization.

130440012010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678511549 (or 3678511544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130440012010020 its reverse (20010210044031), we get a palindrome (150450222054051).

The spelling of 130440012010020 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, ten thousand, twenty".