131413111401329 has 2 divisors, whose sum is σ = 131413111401330. Its totient is φ = 131413111401328.

The previous prime is 131413111401277. The next prime is 131413111401343. The reversal of 131413111401329 is 923104111314131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95292290197729 + 36120821203600 = 9761777^2 + 6010060^2 .

It is an emirp because it is prime and its reverse (923104111314131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131413111401329 - 2⁴⁴ = 113820925356913 is a prime.

It is not a weakly prime, because it can be changed into another prime (131413111401389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706555700664 + 65706555700665.

It is an arithmetic number, because the mean of its divisors is an integer number (65706555700665).

Almost surely, 2^{131413111401329} is an apocalyptic number.

It is an amenable number.

131413111401329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413111401329 is an equidigital number, since it uses as much as digits as its factorization.

131413111401329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 131413111401329 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred one thousand, three hundred twenty-nine".