130001033131020 has 72 divisors (see below), whose sum is σ = 394345721427840. Its totient is φ = 34666128606720.

The previous prime is 130001033130989. The next prime is 130001033131111. The reversal of 130001033131020 is 20131330100031.

It is a happy number.

130001033131020 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 1 + 0 + 331 + 310 + 20 = 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 = 130001033130984 and 130001033131002.

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 23 ways as a sum of consecutive naturals, for example, 763821 + ... + 16142660.

It is an arithmetic number, because the mean of its divisors is an integer number (5477023908720).

Almost surely, 2^{130001033131020} is an apocalyptic number.

130001033131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130001033131020 is an abundant number, since it is smaller than the sum of its proper divisors (264344688296820).

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

130001033131020 is a wasteful number, since it uses less digits than its factorization.

130001033131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16949215 (or 16949210 counting only the distinct ones).

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

Adding to 130001033131020 its reverse (20131330100031), we get a palindrome (150132363231051).

The spelling of 130001033131020 in words is "one hundred thirty trillion, one billion, thirty-three million, one hundred thirty-one thousand, twenty".