131413233130409 has 2 divisors, whose sum is σ = 131413233130410. Its totient is φ = 131413233130408.

The previous prime is 131413233130379. The next prime is 131413233130433. The reversal of 131413233130409 is 904031332314131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86305084742809 + 45108148387600 = 9290053^2 + 6716260^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413233130409 - 2¹² = 131413233126313 is a prime.

It is not a weakly prime, because it can be changed into another prime (131413233135409) 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, 65706616565204 + 65706616565205.

It is an arithmetic number, because the mean of its divisors is an integer number (65706616565205).

Almost surely, 2^{131413233130409} is an apocalyptic number.

It is an amenable number.

131413233130409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413233130409 is an equidigital number, since it uses as much as digits as its factorization.

131413233130409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 131413233130409 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, one hundred thirty thousand, four hundred nine".