130013202213 has 6 divisors (see below), whose sum is σ = 187796847654. Its totient is φ = 86675468136.

The previous prime is 130013202199. The next prime is 130013202217. The reversal of 130013202213 is 312202310031.

130013202213 is a `hidden beast` number, since 130 + 0 + 1 + 320 + 2 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127661146209 + 2352056004 = 357297^2 + 48498^2 .

It is not a de Polignac number, because 130013202213 - 2¹⁴ = 130013185829 is a prime.

It is a super-3 number, since 3×130013202213³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013202217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7222955670 + ... + 7222955687.

It is an arithmetic number, because the mean of its divisors is an integer number (31299474609).

Almost surely, 2^130013202213 is an apocalyptic number.

It is an amenable number.

130013202213 is a deficient number, since it is larger than the sum of its proper divisors (57783645441).

130013202213 is a wasteful number, since it uses less digits than its factorization.

130013202213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14445911363 (or 14445911360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130013202213 its reverse (312202310031), we get a palindrome (442215512244).

The spelling of 130013202213 in words is "one hundred thirty billion, thirteen million, two hundred two thousand, two hundred thirteen".