130253020 has 48 divisors (see below), whose sum is σ = 281369088. Its totient is φ = 50621760.

The previous prime is 130252981. The next prime is 130253021. The reversal of 130253020 is 20352031.

130253020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130252985 and 130253003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130253021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267217 + ... + 267703.

It is an arithmetic number, because the mean of its divisors is an integer number (5861856).

Almost surely, 2^130253020 is an apocalyptic number.

130253020 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 130253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140684544).

130253020 is an abundant number, since it is smaller than the sum of its proper divisors (151116068).

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

130253020 is a wasteful number, since it uses less digits than its factorization.

130253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 130253020 is about 11412.8445183486. The cubic root of 130253020 is about 506.9081422437.

The spelling of 130253020 in words is "one hundred thirty million, two hundred fifty-three thousand, twenty".