131412334133273 has 2 divisors, whose sum is σ = 131412334133274. Its totient is φ = 131412334133272.

The previous prime is 131412334133161. The next prime is 131412334133279. The reversal of 131412334133273 is 372331433214131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114876660110809 + 16535674022464 = 10718053^2 + 4066408^2 .

It is an emirp because it is prime and its reverse (372331433214131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131412334133273 - 2²² = 131412329938969 is a prime.

It is a super-2 number, since 2×131412334133273² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131412334133273.

It is not a weakly prime, because it can be changed into another prime (131412334133279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706167066636 + 65706167066637.

It is an arithmetic number, because the mean of its divisors is an integer number (65706167066637).

Almost surely, 2^{131412334133273} is an apocalyptic number.

It is an amenable number.

131412334133273 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412334133273 is an equidigital number, since it uses as much as digits as its factorization.

131412334133273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 41.

The spelling of 131412334133273 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-four million, one hundred thirty-three thousand, two hundred seventy-three".