31434041421361 has 2 divisors, whose sum is σ = 31434041421362. Its totient is φ = 31434041421360.

The previous prime is 31434041421253. The next prime is 31434041421373. The reversal of 31434041421361 is 16312414043413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28657339095025 + 2776702326336 = 5353255^2 + 1666344^2 .

It is a cyclic number.

It is not a de Polignac number, because 31434041421361 - 2¹³ = 31434041413169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31434041421361.

It is not a weakly prime, because it can be changed into another prime (31434041401361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15717020710680 + 15717020710681.

It is an arithmetic number, because the mean of its divisors is an integer number (15717020710681).

Almost surely, 2^{31434041421361} is an apocalyptic number.

It is an amenable number.

31434041421361 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434041421361 is an equidigital number, since it uses as much as digits as its factorization.

31434041421361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 31434041421361 its reverse (16312414043413), we get a palindrome (47746455464774).

The spelling of 31434041421361 in words is "thirty-one trillion, four hundred thirty-four billion, forty-one million, four hundred twenty-one thousand, three hundred sixty-one".