130013221 has 6 divisors (see below), whose sum is σ = 140783730. Its totient is φ = 120012048.

The previous prime is 130013203. The next prime is 130013243. The reversal of 130013221 is 122310031.

It can be written as a sum of positive squares in 3 ways, for example, as 940900 + 129072321 = 970^2 + 11361^2 .

It is not a de Polignac number, because 130013221 - 2²¹ = 127916069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013291) 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 5 ways as a sum of consecutive naturals, for example, 384486 + ... + 384823.

It is an arithmetic number, because the mean of its divisors is an integer number (23463955).

Almost surely, 2^130013221 is an apocalyptic number.

It is an amenable number.

130013221 is a deficient number, since it is larger than the sum of its proper divisors (10770509).

130013221 is an equidigital number, since it uses as much as digits as its factorization.

130013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769335 (or 769322 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 130013221 is about 11402.3340154549. The cubic root of 130013221 is about 506.5968743798.

Adding to 130013221 its reverse (122310031), we get a palindrome (252323252).

The spelling of 130013221 in words is "one hundred thirty million, thirteen thousand, two hundred twenty-one".