131013510223259 has 2 divisors, whose sum is σ = 131013510223260. Its totient is φ = 131013510223258.

The previous prime is 131013510223171. The next prime is 131013510223261. The reversal of 131013510223259 is 952322015310131.

It is a strong prime.

It is an emirp because it is prime and its reverse (952322015310131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131013510223259 - 2⁸ = 131013510223003 is a prime.

It is a super-3 number, since 3×131013510223259³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 131013510223261, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131013510223279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506755111629 + 65506755111630.

It is an arithmetic number, because the mean of its divisors is an integer number (65506755111630).

Almost surely, 2^{131013510223259} is an apocalyptic number.

131013510223259 is a deficient number, since it is larger than the sum of its proper divisors (1).

131013510223259 is an equidigital number, since it uses as much as digits as its factorization.

131013510223259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 131013510223259 in words is "one hundred thirty-one trillion, thirteen billion, five hundred ten million, two hundred twenty-three thousand, two hundred fifty-nine".