13130144120 has 32 divisors (see below), whose sum is σ = 30341282400. Its totient is φ = 5110109568.

The previous prime is 13130144119. The next prime is 13130144141. The reversal of 13130144120 is 2144103131.

13130144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13130144120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13130144092 and 13130144101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4434380 + ... + 4437339.

It is an arithmetic number, because the mean of its divisors is an integer number (948165075).

Almost surely, 2^13130144120 is an apocalyptic number.

13130144120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130144120 is an abundant number, since it is smaller than the sum of its proper divisors (17211138280).

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

13130144120 is a wasteful number, since it uses less digits than its factorization.

13130144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871767 (or 8871763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13130144120 its reverse (2144103131), we get a palindrome (15274247251).

The spelling of 13130144120 in words is "thirteen billion, one hundred thirty million, one hundred forty-four thousand, one hundred twenty".