130013205 has 32 divisors (see below), whose sum is σ = 239086848. Its totient is φ = 59097600.

The previous prime is 130013203. The next prime is 130013243. The reversal of 130013205 is 502310031.

It is a happy number.

It is not a de Polignac number, because 130013205 - 2¹ = 130013203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15585 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (7471464).

Almost surely, 2^130013205 is an apocalyptic number.

130013205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130013205 is a deficient number, since it is larger than the sum of its proper divisors (109073643).

130013205 is a wasteful number, since it uses less digits than its factorization.

130013205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130013205 is about 11402.3333138441. Note that the first 4 decimals coincide. The cubic root of 130013205 is about 506.5968535985.

Adding to 130013205 its reverse (502310031), we get a palindrome (632323236).

The spelling of 130013205 in words is "one hundred thirty million, thirteen thousand, two hundred five".