100131130242330 has 256 divisors, whose sum is σ = 274370877849600. Its totient is φ = 23167671840000.

The previous prime is 100131130242323. The next prime is 100131130242383. The reversal of 100131130242330 is 33242031131001.

It is a self number, because there is not a number n which added to its sum of digits gives 100131130242330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214484301 + ... + 214950639.

It is an arithmetic number, because the mean of its divisors is an integer number (1071761241600).

Almost surely, 2^{100131130242330} is an apocalyptic number.

100131130242330 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 100131130242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137185438924800).

100131130242330 is an abundant number, since it is smaller than the sum of its proper divisors (174239747607270).

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

100131130242330 is a wasteful number, since it uses less digits than its factorization.

100131130242330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466681.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100131130242330 its reverse (33242031131001), we get a palindrome (133373161373331).

The spelling of 100131130242330 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty million, two hundred forty-two thousand, three hundred thirty".