130300040 has 64 divisors (see below), whose sum is σ = 319636800. Its totient is φ = 47515392.

The previous prime is 130300031. The next prime is 130300061. The reversal of 130300040 is 40003031.

It is a junction number, because it is equal to n+sod(n) for n = 130299994 and 130300030.

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 15 ways as a sum of consecutive naturals, for example, 41651 + ... + 44669.

It is an arithmetic number, because the mean of its divisors is an integer number (4994325).

Almost surely, 2^130300040 is an apocalyptic number.

130300040 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 130300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159818400).

130300040 is an abundant number, since it is smaller than the sum of its proper divisors (189336760).

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

130300040 is a wasteful number, since it uses less digits than its factorization.

130300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 130300040 is about 11414.9042921962. The cubic root of 130300040 is about 506.9691311134.

Adding to 130300040 its reverse (40003031), we get a palindrome (170303071).

The spelling of 130300040 in words is "one hundred thirty million, three hundred thousand, forty".