130101711667200 has 5508 divisors, whose sum is σ = 638175938214360. Its totient is φ = 26005292974080.

The previous prime is 130101711667159. The next prime is 130101711667217. The reversal of 130101711667200 is 2766117101031.

It is a happy number.

130101711667200 is a `hidden beast` number, since 1 + 301 + 0 + 171 + 166 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6847458508791 + ... + 6847458508809.

Almost surely, 2^{130101711667200} is an apocalyptic number.

130101711667200 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 130101711667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319087969107180).

130101711667200 is an abundant number, since it is smaller than the sum of its proper divisors (508074226547160).

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

130101711667200 is an frugal number, since it uses more digits than its factorization.

130101711667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 130101711667200 its reverse (2766117101031), we get a palindrome (132867828768231).

The spelling of 130101711667200 in words is "one hundred thirty trillion, one hundred one billion, seven hundred eleven million, six hundred sixty-seven thousand, two hundred".