100130133020130 has 160 divisors (see below), whose sum is σ = 273941646937200. Its totient is φ = 26237690615808.

The previous prime is 100130133020041. The next prime is 100130133020237. The reversal of 100130133020130 is 31020331031001.

It is a happy number.

100130133020130 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 301 + 330 + 2 + 0 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8689931641161 + 91440201378969 = 2947869^2 + 9562437^2 .

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 79 ways as a sum of consecutive naturals, for example, 12758406 + ... + 19053534.

Almost surely, 2^{100130133020130} is an apocalyptic number.

100130133020130 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 100130133020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136970823468600).

100130133020130 is an abundant number, since it is smaller than the sum of its proper divisors (173811513917070).

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

100130133020130 is a wasteful number, since it uses less digits than its factorization.

100130133020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295490 (or 6295481 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100130133020130 its reverse (31020331031001), we get a palindrome (131150464051131).

The spelling of 100130133020130 in words is "one hundred trillion, one hundred thirty billion, one hundred thirty-three million, twenty thousand, one hundred thirty".