130130312420400 has 480 divisors, whose sum is σ = 446328328396800. Its totient is φ = 32310513792000.

The previous prime is 130130312420363. The next prime is 130130312420401. The reversal of 130130312420400 is 4024213031031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (130130312420401) 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 95 ways as a sum of consecutive naturals, for example, 8274317337 + ... + 8274333063.

It is an arithmetic number, because the mean of its divisors is an integer number (929850684160).

Almost surely, 2^{130130312420400} is an apocalyptic number.

130130312420400 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 130130312420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223164164198400).

130130312420400 is an abundant number, since it is smaller than the sum of its proper divisors (316198015976400).

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

130130312420400 is a wasteful number, since it uses less digits than its factorization.

130130312420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21977 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130130312420400 its reverse (4024213031031), we get a palindrome (134154525451431).

The spelling of 130130312420400 in words is "one hundred thirty trillion, one hundred thirty billion, three hundred twelve million, four hundred twenty thousand, four hundred".