130211302013 has 24 divisors (see below), whose sum is σ = 145997656200. Its totient is φ = 115940907264.

The previous prime is 130211301989. The next prime is 130211302021. The reversal of 130211302013 is 310203112031.

It can be written as a sum of positive squares in 12 ways, for example, as 83528514169 + 46682787844 = 289013^2 + 216062^2 .

It is not a de Polignac number, because 130211302013 - 2⁸ = 130211301757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130211301982 and 130211302000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211302033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5423231 + ... + 5447187.

It is an arithmetic number, because the mean of its divisors is an integer number (6083235675).

Almost surely, 2^130211302013 is an apocalyptic number.

130211302013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130211302013 is a deficient number, since it is larger than the sum of its proper divisors (15786354187).

130211302013 is a wasteful number, since it uses less digits than its factorization.

130211302013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25121 (or 25108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130211302013 its reverse (310203112031), we get a palindrome (440414414044).

The spelling of 130211302013 in words is "one hundred thirty billion, two hundred eleven million, three hundred two thousand, thirteen".