130103820 has 360 divisors, whose sum is σ = 521413200. Its totient is φ = 26853120.

The previous prime is 130103747. The next prime is 130103821. The reversal of 130103820 is 28301031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130103793 and 130103802.

It is not an unprimeable number, because it can be changed into a prime (130103821) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 873106 + ... + 873254.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 2^130103820 is an apocalyptic number.

130103820 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 130103820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260706600).

130103820 is an abundant number, since it is smaller than the sum of its proper divisors (391309380).

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

130103820 is a wasteful number, since it uses less digits than its factorization.

130103820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130103820 is about 11406.3061505467. The cubic root of 130103820 is about 506.7145201416.

Adding to 130103820 its reverse (28301031), we get a palindrome (158404851).

The spelling of 130103820 in words is "one hundred thirty million, one hundred three thousand, eight hundred twenty".