130133120 has 64 divisors (see below), whose sum is σ = 335051640. Its totient is φ = 48046080.

The previous prime is 130133119. The next prime is 130133137. The reversal of 130133120 is 21331031.

It can be written as a sum of positive squares in 4 ways, for example, as 118897216 + 11235904 = 10904^2 + 3352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 130133095 and 130133104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500 + ... + 16140.

Almost surely, 2^130133120 is an apocalyptic number.

130133120 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 130133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167525820).

130133120 is an abundant number, since it is smaller than the sum of its proper divisors (204918520).

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

130133120 is a wasteful number, since it uses less digits than its factorization.

130133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 130133120 is about 11407.5904554818. The cubic root of 130133120 is about 506.7525554611.

Adding to 130133120 its reverse (21331031), we get a palindrome (151464151).

It can be divided in two parts, 130 and 133120, that multiplied together give a square (17305600 = 4160²).

The spelling of 130133120 in words is "one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".