130281715200 has 960 divisors, whose sum is σ = 553066601472. Its totient is φ = 26276659200.

The previous prime is 130281715183. The next prime is 130281715217. The reversal of 130281715200 is 2517182031.

It is an interprime number because it is at equal distance from previous prime (130281715183) and next prime (130281715217).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×130281715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80370390 + ... + 80372010.

Almost surely, 2^130281715200 is an apocalyptic number.

130281715200 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 130281715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276533300736).

130281715200 is an abundant number, since it is smaller than the sum of its proper divisors (422784886272).

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

130281715200 is a wasteful number, since it uses less digits than its factorization.

130281715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 130281715200 its reverse (2517182031), we get a palindrome (132798897231).

The spelling of 130281715200 in words is "one hundred thirty billion, two hundred eighty-one million, seven hundred fifteen thousand, two hundred".