130218883200 has 384 divisors, whose sum is σ = 544648176000. Its totient is φ = 29764177920.

The previous prime is 130218883183. The next prime is 130218883213. The reversal of 130218883200 is 2388812031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497146 + ... + 712454.

It is an arithmetic number, because the mean of its divisors is an integer number (1418354625).

Almost surely, 2^130218883200 is an apocalyptic number.

130218883200 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 130218883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272324088000).

130218883200 is an abundant number, since it is smaller than the sum of its proper divisors (414429292800).

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

130218883200 is a wasteful number, since it uses less digits than its factorization.

130218883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215349 (or 215326 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 130218883200 in words is "one hundred thirty billion, two hundred eighteen million, eight hundred eighty-three thousand, two hundred".