130414413203200 has 1296 divisors, whose sum is σ = 399087174286080. Its totient is φ = 41983570083840.

The previous prime is 130414413203143. The next prime is 130414413203279. The reversal of 130414413203200 is 2302314414031.

It is a happy number.

It is a super-3 number, since 3×130414413203200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 143 ways as a sum of consecutive naturals, for example, 107160568992 + ... + 107160570208.

It is an arithmetic number, because the mean of its divisors is an integer number (307937634480).

Almost surely, 2^{130414413203200} is an apocalyptic number.

130414413203200 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 130414413203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199543587143040).

130414413203200 is an abundant number, since it is smaller than the sum of its proper divisors (268672761082880).

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

130414413203200 is a wasteful number, since it uses less digits than its factorization.

130414413203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130414413203200 its reverse (2302314414031), we get a palindrome (132716727617231).

The spelling of 130414413203200 in words is "one hundred thirty trillion, four hundred fourteen billion, four hundred thirteen million, two hundred three thousand, two hundred".