130100310 has 64 divisors (see below), whose sum is σ = 352857600. Its totient is φ = 34101216.

The previous prime is 130100263. The next prime is 130100323. The reversal of 130100310 is 13001031.

It is a super-2 number, since 2×130100310² = 33852181324192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130100292 and 130100301.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11847 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (5513400).

Almost surely, 2^130100310 is an apocalyptic number.

130100310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176428800).

130100310 is an abundant number, since it is smaller than the sum of its proper divisors (222757290).

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

130100310 is a wasteful number, since it uses less digits than its factorization.

130100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130100310 is about 11406.1522872527. The cubic root of 130100310 is about 506.7099633091.

Adding to 130100310 its reverse (13001031), we get a palindrome (143101341).

The spelling of 130100310 in words is "one hundred thirty million, one hundred thousand, three hundred ten".