130002131203313 has 2 divisors, whose sum is σ = 130002131203314. Its totient is φ = 130002131203312.

The previous prime is 130002131203277. The next prime is 130002131203319. The reversal of 130002131203313 is 313302131200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98056495913104 + 31945635290209 = 9902348^2 + 5652047^2 .

It is a cyclic number.

It is not a de Polignac number, because 130002131203313 - 2⁸ = 130002131203057 is a prime.

It is a super-5 number, since 5×130002131203313⁵ (a number of 72 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (130002131203319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65001065601656 + 65001065601657.

It is an arithmetic number, because the mean of its divisors is an integer number (65001065601657).

Almost surely, 2^{130002131203313} is an apocalyptic number.

It is an amenable number.

130002131203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130002131203313 is an equidigital number, since it uses as much as digits as its factorization.

130002131203313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 130002131203313 its reverse (313302131200031), we get a palindrome (443304262403344).

The spelling of 130002131203313 in words is "one hundred thirty trillion, two billion, one hundred thirty-one million, two hundred three thousand, three hundred thirteen".