130106033280 has 192 divisors, whose sum is σ = 449569294200. Its totient is φ = 34672017408.

The previous prime is 130106033273. The next prime is 130106033287. The reversal of 130106033280 is 82330601031.

It is a happy number.

130106033280 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 603 + 3 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130106033273) and next prime (130106033287).

It can be written as a sum of positive squares in 4 ways, for example, as 78700447296 + 51405585984 = 280536^2 + 226728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (130106033287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9837232 + ... + 9850448.

Almost surely, 2^130106033280 is an apocalyptic number.

130106033280 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 130106033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224784647100).

130106033280 is an abundant number, since it is smaller than the sum of its proper divisors (319463260920).

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

130106033280 is a wasteful number, since it uses less digits than its factorization.

130106033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 130106033280 in words is "one hundred thirty billion, one hundred six million, thirty-three thousand, two hundred eighty".