130018200 has 192 divisors, whose sum is σ = 441638400. Its totient is φ = 31449600.

The previous prime is 130018199. The next prime is 130018201. The reversal of 130018200 is 2810031.

It is a happy number.

130018200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130018199) and next prime (130018201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130018200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130018201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616095 + ... + 616305.

It is an arithmetic number, because the mean of its divisors is an integer number (2300200).

Almost surely, 2^130018200 is an apocalyptic number.

130018200 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 130018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220819200).

130018200 is an abundant number, since it is smaller than the sum of its proper divisors (311620200).

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

130018200 is a wasteful number, since it uses less digits than its factorization.

130018200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 130018200 is about 11402.5523458566. The cubic root of 130018200 is about 506.6033411930.

Adding to 130018200 its reverse (2810031), we get a palindrome (132828231).

The spelling of 130018200 in words is "one hundred thirty million, eighteen thousand, two hundred".