130500322400 has 144 divisors (see below), whose sum is σ = 367702403040. Its totient is φ = 44299776000.

The previous prime is 130500322387. The next prime is 130500322409. The reversal of 130500322400 is 4223005031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130500322409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 450236 + ... + 680964.

It is an arithmetic number, because the mean of its divisors is an integer number (2553488910).

Almost surely, 2^130500322400 is an apocalyptic number.

130500322400 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 130500322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183851201520).

130500322400 is an abundant number, since it is smaller than the sum of its proper divisors (237202080640).

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

130500322400 is a wasteful number, since it uses less digits than its factorization.

130500322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230857 (or 230844 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 130500322400 its reverse (4223005031), we get a palindrome (134723327431).

The spelling of 130500322400 in words is "one hundred thirty billion, five hundred million, three hundred twenty-two thousand, four hundred".