130010111120 has 80 divisors (see below), whose sum is σ = 320323716720. Its totient is φ = 48986112000.

The previous prime is 130010111093. The next prime is 130010111131. The reversal of 130010111120 is 21111010031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37722962176 + 92287148944 = 194224^2 + 303788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 588281 + ... + 778520.

It is an arithmetic number, because the mean of its divisors is an integer number (4004046459).

Almost surely, 2^130010111120 is an apocalyptic number.

130010111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130010111120 is an abundant number, since it is smaller than the sum of its proper divisors (190313605600).

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

130010111120 is a wasteful number, since it uses less digits than its factorization.

130010111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366884 (or 1366878 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 130010111120 its reverse (21111010031), we get a palindrome (151121121151).

The spelling of 130010111120 in words is "one hundred thirty billion, ten million, one hundred eleven thousand, one hundred twenty".