71953438131313 has 2 divisors, whose sum is σ = 71953438131314. Its totient is φ = 71953438131312.

The previous prime is 71953438131301. The next prime is 71953438131329. The reversal of 71953438131313 is 31313183435917.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58418934259984 + 13534503871329 = 7643228^2 + 3678927^2 .

It is an emirp because it is prime and its reverse (31313183435917) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71953438131313 is a prime.

It is a super-2 number, since 2×71953438131313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71953438131353) 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, 35976719065656 + 35976719065657.

It is an arithmetic number, because the mean of its divisors is an integer number (35976719065657).

Almost surely, 2^{71953438131313} is an apocalyptic number.

It is an amenable number.

71953438131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

71953438131313 is an equidigital number, since it uses as much as digits as its factorization.

71953438131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2449440, while the sum is 52.

The spelling of 71953438131313 in words is "seventy-one trillion, nine hundred fifty-three billion, four hundred thirty-eight million, one hundred thirty-one thousand, three hundred thirteen".