313442100411409 has 2 divisors, whose sum is σ = 313442100411410. Its totient is φ = 313442100411408.

The previous prime is 313442100411353. The next prime is 313442100411443. The reversal of 313442100411409 is 904114001244313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209868736001409 + 103573364410000 = 14486847^2 + 10177100^2 .

It is a cyclic number.

It is not a de Polignac number, because 313442100411409 - 2⁷ = 313442100411281 is a prime.

It is not a weakly prime, because it can be changed into another prime (313442100411509) 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, 156721050205704 + 156721050205705.

It is an arithmetic number, because the mean of its divisors is an integer number (156721050205705).

Almost surely, 2^{313442100411409} is an apocalyptic number.

It is an amenable number.

313442100411409 is a deficient number, since it is larger than the sum of its proper divisors (1).

313442100411409 is an equidigital number, since it uses as much as digits as its factorization.

313442100411409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 313442100411409 in words is "three hundred thirteen trillion, four hundred forty-two billion, one hundred million, four hundred eleven thousand, four hundred nine".