13413133413109 has 2 divisors, whose sum is σ = 13413133413110. Its totient is φ = 13413133413108.

The previous prime is 13413133413103. The next prime is 13413133413137. The reversal of 13413133413109 is 90131433131431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12755590821009 + 657542592100 = 3571497^2 + 810890^2 .

It is an emirp because it is prime and its reverse (90131433131431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13413133413109 - 2⁷ = 13413133412981 is a prime.

It is a super-2 number, since 2×13413133413109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13413133413103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6706566706554 + 6706566706555.

It is an arithmetic number, because the mean of its divisors is an integer number (6706566706555).

Almost surely, 2^{13413133413109} is an apocalyptic number.

It is an amenable number.

13413133413109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13413133413109 is an equidigital number, since it uses as much as digits as its factorization.

13413133413109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 13413133413109 in words is "thirteen trillion, four hundred thirteen billion, one hundred thirty-three million, four hundred thirteen thousand, one hundred nine".