130221013 has 8 divisors (see below), whose sum is σ = 140388248. Its totient is φ = 120075264.

The previous prime is 130221001. The next prime is 130221097. The reversal of 130221013 is 310122031.

It can be written as a sum of positive squares in 4 ways, for example, as 10252804 + 119968209 = 3202^2 + 10953^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130221013 - 2²¹ = 128123861 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 130220984 and 130221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8581 + ... + 18277.

It is an arithmetic number, because the mean of its divisors is an integer number (17548531).

Almost surely, 2^130221013 is an apocalyptic number.

130221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130221013 is a deficient number, since it is larger than the sum of its proper divisors (10167235).

130221013 is a wasteful number, since it uses less digits than its factorization.

130221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10743.

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

The square root of 130221013 is about 11411.4421963221. The cubic root of 130221013 is about 506.8666180931.

Adding to 130221013 its reverse (310122031), we get a palindrome (440343044).

The spelling of 130221013 in words is "one hundred thirty million, two hundred twenty-one thousand, thirteen".