130033020 has 96 divisors (see below), whose sum is σ = 400555008. Its totient is φ = 31318272.

The previous prime is 130032923. The next prime is 130033039. The reversal of 130033020 is 20330031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130032987 and 130033005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34887 + ... + 38433.

It is an arithmetic number, because the mean of its divisors is an integer number (4172448).

Almost surely, 2^130033020 is an apocalyptic number.

130033020 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 130033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200277504).

130033020 is an abundant number, since it is smaller than the sum of its proper divisors (270521988).

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

130033020 is a wasteful number, since it uses less digits than its factorization.

130033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130033020 is about 11403.2021818435. The cubic root of 130033020 is about 506.6225886940.

Adding to 130033020 its reverse (20330031), we get a palindrome (150363051).

The spelling of 130033020 in words is "one hundred thirty million, thirty-three thousand, twenty".