130021133333130 has 192 divisors, whose sum is σ = 365863875275808. Its totient is φ = 31846909962240.

The previous prime is 130021133333101. The next prime is 130021133333167. The reversal of 130021133333130 is 31333331120031.

130021133333130 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 1 + 13 + 333 + 313 + 0 = 666.

130021133333130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7322289876729 + 122698843456401 = 2705973^2 + 11076951^2 .

It is a super-2 number, since 2×130021133333130² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130021133333094 and 130021133333103.

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, 206271040 + ... + 206900420.

Almost surely, 2^{130021133333130} is an apocalyptic number.

130021133333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130021133333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182931937637904).

130021133333130 is an abundant number, since it is smaller than the sum of its proper divisors (235842741942678).

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

130021133333130 is a wasteful number, since it uses less digits than its factorization.

130021133333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630281 (or 630278 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 130021133333130 its reverse (31333331120031), we get a palindrome (161354464453161).

The spelling of 130021133333130 in words is "one hundred thirty trillion, twenty-one billion, one hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty".