100113201230130 has 384 divisors, whose sum is σ = 287639838720000. Its totient is φ = 23957111592960.

The previous prime is 100113201230101. The next prime is 100113201230191. The reversal of 100113201230130 is 31032102311001.

100113201230130 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 320 + 12 + 301 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32097850711 + ... + 32097853829.

It is an arithmetic number, because the mean of its divisors is an integer number (749062080000).

Almost surely, 2^{100113201230130} is an apocalyptic number.

100113201230130 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 100113201230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143819919360000).

100113201230130 is an abundant number, since it is smaller than the sum of its proper divisors (187526637489870).

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

100113201230130 is a wasteful number, since it uses less digits than its factorization.

100113201230130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113201230130 its reverse (31032102311001), we get a palindrome (131145303541131).

The spelling of 100113201230130 in words is "one hundred trillion, one hundred thirteen billion, two hundred one million, two hundred thirty thousand, one hundred thirty".