130314800 has 120 divisors (see below), whose sum is σ = 390427392. Its totient is φ = 40608000.

The previous prime is 130314791. The next prime is 130314817. The reversal of 130314800 is 8413031.

It is a happy number.

It is a super-3 number, since 3×130314800³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28685 + ... + 32915.

Almost surely, 2^130314800 is an apocalyptic number.

130314800 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 130314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195213696).

130314800 is an abundant number, since it is smaller than the sum of its proper divisors (260112592).

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

130314800 is a wasteful number, since it uses less digits than its factorization.

130314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 130314800 is about 11415.5507970487. The cubic root of 130314800 is about 506.9882730411.

Adding to 130314800 its reverse (8413031), we get a palindrome (138727831).

The spelling of 130314800 in words is "one hundred thirty million, three hundred fourteen thousand, eight hundred".