130313203200 has 180 divisors, whose sum is σ = 466355394648. Its totient is φ = 34750156800.

The previous prime is 130313203171. The next prime is 130313203211. The reversal of 130313203200 is 2302313031.

130313203200 is a `hidden beast` number, since 1 + 30 + 313 + 2 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450396 + ... + 680795.

Almost surely, 2^130313203200 is an apocalyptic number.

130313203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130313203200 is an abundant number, since it is smaller than the sum of its proper divisors (336042191448).

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

130313203200 is a wasteful number, since it uses less digits than its factorization.

130313203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131225 (or 1131201 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130313203200 its reverse (2302313031), we get a palindrome (132615516231).

The spelling of 130313203200 in words is "one hundred thirty billion, three hundred thirteen million, two hundred three thousand, two hundred".