130301103001120 has 24 divisors (see below), whose sum is σ = 307836355840524. Its totient is φ = 52120441200384.

The previous prime is 130301103001109. The next prime is 130301103001183. The reversal of 130301103001120 is 21100301103031.

It can be written as a sum of positive squares in 2 ways, for example, as 129416743317904 + 884359683216 = 11376148^2 + 940404^2 .

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 = 130301103001094 and 130301103001103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407190946719 + ... + 407190947038.

Almost surely, 2^{130301103001120} is an apocalyptic number.

130301103001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130301103001120 is an abundant number, since it is smaller than the sum of its proper divisors (177535252839404).

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

130301103001120 is an equidigital number, since it uses as much as digits as its factorization.

130301103001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814381893772 (or 814381893764 counting only the distinct ones).

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

Adding to 130301103001120 its reverse (21100301103031), we get a palindrome (151401404104151).

The spelling of 130301103001120 in words is "one hundred thirty trillion, three hundred one billion, one hundred three million, one thousand, one hundred twenty".