130021120 has 72 divisors (see below), whose sum is σ = 313909344. Its totient is φ = 51597312.

The previous prime is 130021109. The next prime is 130021153. The reversal of 130021120 is 21120031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130021097 and 130021106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200637 + ... + 201283.

It is an arithmetic number, because the mean of its divisors is an integer number (4359852).

Almost surely, 2^130021120 is an apocalyptic number.

130021120 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 130021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954672).

130021120 is an abundant number, since it is smaller than the sum of its proper divisors (183888224).

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

130021120 is an equidigital number, since it uses as much as digits as its factorization.

130021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130021120 is about 11402.6803866459. The cubic root of 130021120 is about 506.6071336638.

Adding to 130021120 its reverse (21120031), we get a palindrome (151141151).

The spelling of 130021120 in words is "one hundred thirty million, twenty-one thousand, one hundred twenty".