71132321111311 has 2 divisors, whose sum is σ = 71132321111312. Its totient is φ = 71132321111310.

The previous prime is 71132321111309. The next prime is 71132321111329. The reversal of 71132321111311 is 11311112323117.

It is a weak prime.

It is an emirp because it is prime and its reverse (11311112323117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71132321111311 - 2¹ = 71132321111309 is a prime.

It is a super-3 number, since 3×71132321111311³ (a number of 43 digits) contains 333 as substring.

Together with 71132321111309, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 71132321111311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71132321111911) 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, 35566160555655 + 35566160555656.

It is an arithmetic number, because the mean of its divisors is an integer number (35566160555656).

Almost surely, 2^{71132321111311} is an apocalyptic number.

71132321111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

71132321111311 is an equidigital number, since it uses as much as digits as its factorization.

71132321111311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 28.

Adding to 71132321111311 its reverse (11311112323117), we get a palindrome (82443433434428).

The spelling of 71132321111311 in words is "seventy-one trillion, one hundred thirty-two billion, three hundred twenty-one million, one hundred eleven thousand, three hundred eleven".