130311120 has 240 divisors, whose sum is σ = 461488320. Its totient is φ = 30228480.

The previous prime is 130311089. The next prime is 130311121. The reversal of 130311120 is 21113031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130311096 and 130311105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178300 + ... + 3178340.

It is an arithmetic number, because the mean of its divisors is an integer number (1922868).

Almost surely, 2^130311120 is an apocalyptic number.

130311120 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 130311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230744160).

130311120 is an abundant number, since it is smaller than the sum of its proper divisors (331177200).

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

130311120 is a wasteful number, since it uses less digits than its factorization.

130311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 130311120 is about 11415.3896122734. The cubic root of 130311120 is about 506.9835006632.

Adding to 130311120 its reverse (21113031), we get a palindrome (151424151).

The spelling of 130311120 in words is "one hundred thirty million, three hundred eleven thousand, one hundred twenty".