130434000000 has 224 divisors, whose sum is σ = 433096018800. Its totient is φ = 34780800000.

The previous prime is 130433999999. The next prime is 130434000019. The reversal of 130434000000 is 434031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5989131 + ... + 6010869.

Almost surely, 2^130434000000 is an apocalyptic number.

130434000000 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 130434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548009400).

130434000000 is an abundant number, since it is smaller than the sum of its proper divisors (302662018800).

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

130434000000 is an frugal number, since it uses more digits than its factorization.

130434000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21786 (or 21749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 130434000000 its reverse (434031), we get a palindrome (130434434031).

The spelling of 130434000000 in words is "one hundred thirty billion, four hundred thirty-four million", and thus it is an aban number.