130020821056 has 189 divisors, whose sum is σ = 308910563661. Its totient is φ = 54139524096.

The previous prime is 130020821039. The next prime is 130020821069. The reversal of 130020821056 is 650128020031.

The square root of 130020821056 is 360584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76374849600 + 53645971456 = 276360^2 + 231616^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 949057020 + ... + 949057156.

Almost surely, 2^130020821056 is an apocalyptic number.

130020821056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130020821056 is the 360584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130020821056

130020821056 is an abundant number, since it is smaller than the sum of its proper divisors (178889742605).

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

130020821056 is an frugal number, since it uses more digits than its factorization.

130020821056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 130020821056 its reverse (650128020031), we get a palindrome (780148841087).

The spelling of 130020821056 in words is "one hundred thirty billion, twenty million, eight hundred twenty-one thousand, fifty-six".