130213332013 has 8 divisors (see below), whose sum is σ = 137245023000. Its totient is φ = 123351079488.

The previous prime is 130213331957. The next prime is 130213332047. The reversal of 130213332013 is 310233312031.

It can be written as a sum of positive squares in 4 ways, for example, as 32271248164 + 97942083849 = 179642^2 + 312957^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130213332013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213332113) 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 7 ways as a sum of consecutive naturals, for example, 42358038 + ... + 42361111.

It is an arithmetic number, because the mean of its divisors is an integer number (17155627875).

Almost surely, 2^130213332013 is an apocalyptic number.

It is an amenable number.

130213332013 is a deficient number, since it is larger than the sum of its proper divisors (7031690987).

130213332013 is an equidigital number, since it uses as much as digits as its factorization.

130213332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84719231.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 130213332013 its reverse (310233312031), we get a palindrome (440446644044).

The spelling of 130213332013 in words is "one hundred thirty billion, two hundred thirteen million, three hundred thirty-two thousand, thirteen".