130441032020020 has 96 divisors (see below), whose sum is σ = 287624678695200. Its totient is φ = 49626519312384.

The previous prime is 130441032019943. The next prime is 130441032020021. The reversal of 130441032020020 is 20020230144031.

It can be written as a sum of positive squares in 16 ways, for example, as 8315679550864 + 122125352469156 = 2883692^2 + 11051034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130441032019973 and 130441032020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130441032020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4973802 + ... + 16900318.

It is an arithmetic number, because the mean of its divisors is an integer number (2996090403075).

Almost surely, 2^{130441032020020} is an apocalyptic number.

130441032020020 is a gapful number since it is divisible by the number (10) 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 130441032020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143812339347600).

130441032020020 is an abundant number, since it is smaller than the sum of its proper divisors (157183646675180).

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

130441032020020 is a wasteful number, since it uses less digits than its factorization.

130441032020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926837 (or 11926835 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 130441032020020 its reverse (20020230144031), we get a palindrome (150461262164051).

The spelling of 130441032020020 in words is "one hundred thirty trillion, four hundred forty-one billion, thirty-two million, twenty thousand, twenty".