71122991414413 has 2 divisors, whose sum is σ = 71122991414414. Its totient is φ = 71122991414412.

The previous prime is 71122991414399. The next prime is 71122991414417. The reversal of 71122991414413 is 31441419922117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63507941440969 + 7615049973444 = 7969187^2 + 2759538^2 .

It is an emirp because it is prime and its reverse (31441419922117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71122991414413 - 2²⁵ = 71122957859981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71122991414417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35561495707206 + 35561495707207.

It is an arithmetic number, because the mean of its divisors is an integer number (35561495707207).

Almost surely, 2^{71122991414413} is an apocalyptic number.

It is an amenable number.

71122991414413 is a deficient number, since it is larger than the sum of its proper divisors (1).

71122991414413 is an equidigital number, since it uses as much as digits as its factorization.

71122991414413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 435456, while the sum is 49.

The spelling of 71122991414413 in words is "seventy-one trillion, one hundred twenty-two billion, nine hundred ninety-one million, four hundred fourteen thousand, four hundred thirteen".