130042112134200 has 288 divisors, whose sum is σ = 489336816332160. Its totient is φ = 28431567225600.

The previous prime is 130042112134199. The next prime is 130042112134201. The reversal of 130042112134200 is 2431211240031.

It is an interprime number because it is at equal distance from previous prime (130042112134199) and next prime (130042112134201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130042112134201) 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 71 ways as a sum of consecutive naturals, for example, 95480346 + ... + 96832745.

It is an arithmetic number, because the mean of its divisors is an integer number (1699086167820).

Almost surely, 2^{130042112134200} is an apocalyptic number.

130042112134200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130042112134200 is an abundant number, since it is smaller than the sum of its proper divisors (359294704197960).

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

130042112134200 is a wasteful number, since it uses less digits than its factorization.

130042112134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192313147 (or 192313131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130042112134200 its reverse (2431211240031), we get a palindrome (132473323374231).

The spelling of 130042112134200 in words is "one hundred thirty trillion, forty-two billion, one hundred twelve million, one hundred thirty-four thousand, two hundred".