130330434000 has 320 divisors, whose sum is σ = 455230863360. Its totient is φ = 32078092800.

The previous prime is 130330433983. The next prime is 130330434079. The reversal of 130330434000 is 434033031.

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 63 ways as a sum of consecutive naturals, for example, 13177057 + ... + 13186943.

It is an arithmetic number, because the mean of its divisors is an integer number (1422596448).

Almost surely, 2^130330434000 is an apocalyptic number.

130330434000 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 130330434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227615431680).

130330434000 is an abundant number, since it is smaller than the sum of its proper divisors (324900429360).

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

130330434000 is an equidigital number, since it uses as much as digits as its factorization.

130330434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9910 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 130330434000 its reverse (434033031), we get a palindrome (130764467031).

The spelling of 130330434000 in words is "one hundred thirty billion, three hundred thirty million, four hundred thirty-four thousand".