130242134000000 has 448 divisors, whose sum is σ = 374627418770160. Its totient is φ = 44574720000000.

The previous prime is 130242133999963. The next prime is 130242134000059. The reversal of 130242134000000 is 431242031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 373825880 + ... + 374174120.

Almost surely, 2^{130242134000000} is an apocalyptic number.

130242134000000 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 130242134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187313709385080).

130242134000000 is an abundant number, since it is smaller than the sum of its proper divisors (244385284770160).

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

130242134000000 is an frugal number, since it uses more digits than its factorization.

130242134000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348313 (or 348276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130242134000000 its reverse (431242031), we get a palindrome (130242565242031).

The spelling of 130242134000000 in words is "one hundred thirty trillion, two hundred forty-two billion, one hundred thirty-four million", and thus it is an aban number.