131412333242321 has 2 divisors, whose sum is σ = 131412333242322. Its totient is φ = 131412333242320.

The previous prime is 131412333242263. The next prime is 131412333242369. The reversal of 131412333242321 is 123242333214131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125654325070096 + 5758008172225 = 11209564^2 + 2399585^2 .

It is a cyclic number.

It is not a de Polignac number, because 131412333242321 - 2¹⁴ = 131412333225937 is a prime.

It is not a weakly prime, because it can be changed into another prime (131412333242521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706166621160 + 65706166621161.

It is an arithmetic number, because the mean of its divisors is an integer number (65706166621161).

Almost surely, 2^{131412333242321} is an apocalyptic number.

It is an amenable number.

131412333242321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412333242321 is an equidigital number, since it uses as much as digits as its factorization.

131412333242321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 35.

Adding to 131412333242321 its reverse (123242333214131), we get a palindrome (254654666456452).

The spelling of 131412333242321 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-three million, two hundred forty-two thousand, three hundred twenty-one".