130963111200 has 288 divisors, whose sum is σ = 477389445120. Its totient is φ = 34647782400.

The previous prime is 130963111193. The next prime is 130963111211. The reversal of 130963111200 is 2111369031.

130963111200 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 631 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2719330 + ... + 2767070.

It is an arithmetic number, because the mean of its divisors is an integer number (1657602240).

Almost surely, 2^130963111200 is an apocalyptic number.

130963111200 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 130963111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238694722560).

130963111200 is an abundant number, since it is smaller than the sum of its proper divisors (346426333920).

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

130963111200 is a wasteful number, since it uses less digits than its factorization.

130963111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47897 (or 47878 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 130963111200 in words is "one hundred thirty billion, nine hundred sixty-three million, one hundred eleven thousand, two hundred".