131101322031319 has 2 divisors, whose sum is σ = 131101322031320. Its totient is φ = 131101322031318.

The previous prime is 131101322031313. The next prime is 131101322031341. The reversal of 131101322031319 is 913130223101131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 131101322031319 - 2¹⁷ = 131101321900247 is a prime.

It is a super-3 number, since 3×131101322031319³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131101322031313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550661015659 + 65550661015660.

It is an arithmetic number, because the mean of its divisors is an integer number (65550661015660).

Almost surely, 2^{131101322031319} is an apocalyptic number.

131101322031319 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101322031319 is an equidigital number, since it uses as much as digits as its factorization.

131101322031319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 131101322031319 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred twenty-two million, thirty-one thousand, three hundred nineteen".