131413330104409 has 2 divisors, whose sum is σ = 131413330104410. Its totient is φ = 131413330104408.

The previous prime is 131413330104389. The next prime is 131413330104523. The reversal of 131413330104409 is 904401033314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116719501542400 + 14693828562009 = 10803680^2 + 3833253^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413330104409 - 2⁹ = 131413330103897 is a prime.

It is not a weakly prime, because it can be changed into another prime (131413331104409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706665052204 + 65706665052205.

It is an arithmetic number, because the mean of its divisors is an integer number (65706665052205).

Almost surely, 2^{131413330104409} is an apocalyptic number.

It is an amenable number.

131413330104409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413330104409 is an equidigital number, since it uses as much as digits as its factorization.

131413330104409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 131413330104409 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, one hundred four thousand, four hundred nine".