130513240421200 has 540 divisors, whose sum is σ = 398878879272948. Its totient is φ = 40896221184000.

The previous prime is 130513240421191. The next prime is 130513240421257. The reversal of 130513240421200 is 2124042315031.

It can be written as a sum of positive squares in 18 ways, for example, as 75366219802384 + 55147020618816 = 8681372^2 + 7426104^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 334357344 + ... + 334747456.

Almost surely, 2^{130513240421200} is an apocalyptic number.

130513240421200 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 130513240421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199439439636474).

130513240421200 is an abundant number, since it is smaller than the sum of its proper divisors (268365638851748).

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

130513240421200 is a wasteful number, since it uses less digits than its factorization.

130513240421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390272 (or 390241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 130513240421200 its reverse (2124042315031), we get a palindrome (132637282736231).

The spelling of 130513240421200 in words is "one hundred thirty trillion, five hundred thirteen billion, two hundred forty million, four hundred twenty-one thousand, two hundred".