130240000000000 has 704 divisors, whose sum is σ = 364794426122760. Its totient is φ = 46080000000000.

The previous prime is 130239999999983. The next prime is 130240000000009. The reversal of 130240000000000 is 42031.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130240000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3519999999982 + ... + 3520000000018.

Almost surely, 2^{130240000000000} is an apocalyptic number.

130240000000000 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 130240000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182397213061380).

130240000000000 is an abundant number, since it is smaller than the sum of its proper divisors (234554426122760).

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

130240000000000 is an frugal number, since it uses more digits than its factorization.

130240000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 130240000000000 its reverse (42031), we get a palindrome (130240000042031).

The spelling of 130240000000000 in words is "one hundred thirty trillion, two hundred forty billion", and thus it is an aban number.