100030113013120 has 128 divisors (see below), whose sum is σ = 242004634675200. Its totient is φ = 39532493045760.

The previous prime is 100030113013109. The next prime is 100030113013213. The reversal of 100030113013120 is 21310311030001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100030113013094 and 100030113013103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74579457 + ... + 75908863.

It is an arithmetic number, because the mean of its divisors is an integer number (1890661208400).

Almost surely, 2^{100030113013120} is an apocalyptic number.

100030113013120 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 100030113013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002317337600).

100030113013120 is an abundant number, since it is smaller than the sum of its proper divisors (141974521662080).

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

100030113013120 is a wasteful number, since it uses less digits than its factorization.

100030113013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330836 (or 1330824 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100030113013120 its reverse (21310311030001), we get a palindrome (121340424043121).

The spelling of 100030113013120 in words is "one hundred trillion, thirty billion, one hundred thirteen million, thirteen thousand, one hundred twenty".