130330137241800 has 288 divisors, whose sum is σ = 445015782881280. Its totient is φ = 34175722291200.

The previous prime is 130330137241789. The next prime is 130330137241817. The reversal of 130330137241800 is 8142731033031.

130330137241800 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 301 + 37 + 241 + 80 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 47616072 + ... + 50278728.

It is an arithmetic number, because the mean of its divisors is an integer number (1545193690560).

Almost surely, 2^{130330137241800} is an apocalyptic number.

130330137241800 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 130330137241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222507891440640).

130330137241800 is an abundant number, since it is smaller than the sum of its proper divisors (314685645639480).

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

130330137241800 is a wasteful number, since it uses less digits than its factorization.

130330137241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663133 (or 2663121 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 130330137241800 its reverse (8142731033031), we get a palindrome (138472868274831).

The spelling of 130330137241800 in words is "one hundred thirty trillion, three hundred thirty billion, one hundred thirty-seven million, two hundred forty-one thousand, eight hundred".