130120321100 has 144 divisors (see below), whose sum is σ = 352205957376. Its totient is φ = 40537248000.

The previous prime is 130120321091. The next prime is 130120321139. The reversal of 130120321100 is 1123021031.

130120321100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×130120321100⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30897995 + ... + 30902205.

It is an arithmetic number, because the mean of its divisors is an integer number (2445874704).

Almost surely, 2^130120321100 is an apocalyptic number.

130120321100 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 130120321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176102978688).

130120321100 is an abundant number, since it is smaller than the sum of its proper divisors (222085636276).

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

130120321100 is a wasteful number, since it uses less digits than its factorization.

130120321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 130120321100 its reverse (1123021031), we get a palindrome (131243342131).

The spelling of 130120321100 in words is "one hundred thirty billion, one hundred twenty million, three hundred twenty-one thousand, one hundred".