130217683200 has 648 divisors, whose sum is σ = 493104730944. Its totient is φ = 30183014400.

The previous prime is 130217683181. The next prime is 130217683201. The reversal of 130217683200 is 2386712031.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130217683201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53432382 + ... + 53434818.

Almost surely, 2^130217683200 is an apocalyptic number.

130217683200 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 130217683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246552365472).

130217683200 is an abundant number, since it is smaller than the sum of its proper divisors (362887047744).

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

130217683200 is a wasteful number, since it uses less digits than its factorization.

130217683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 130217683200 in words is "one hundred thirty billion, two hundred seventeen million, six hundred eighty-three thousand, two hundred".