130020820 has 48 divisors (see below), whose sum is σ = 288465408. Its totient is φ = 49150080.

The previous prime is 130020797. The next prime is 130020841. The reversal of 130020820 is 28020031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130020794 and 130020803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24222 + ... + 29098.

It is an arithmetic number, because the mean of its divisors is an integer number (6009696).

Almost surely, 2^130020820 is an apocalyptic number.

130020820 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 130020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144232704).

130020820 is an abundant number, since it is smaller than the sum of its proper divisors (158444588).

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

130020820 is a wasteful number, since it uses less digits than its factorization.

130020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 130020820 is about 11402.6672318366. The cubic root of 130020820 is about 506.6067440291.

Adding to 130020820 its reverse (28020031), we get a palindrome (158040851).

The spelling of 130020820 in words is "one hundred thirty million, twenty thousand, eight hundred twenty".