31134131311321 has 2 divisors, whose sum is σ = 31134131311322. Its totient is φ = 31134131311320.

The previous prime is 31134131311319. The next prime is 31134131311357. The reversal of 31134131311321 is 12311313143113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26027597975625 + 5106533335696 = 5101725^2 + 2259764^2 .

It is a cyclic number.

It is not a de Polignac number, because 31134131311321 - 2¹ = 31134131311319 is a prime.

Together with 31134131311319, 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 31134131311321.

It is not a weakly prime, because it can be changed into another prime (31134131311391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15567065655660 + 15567065655661.

It is an arithmetic number, because the mean of its divisors is an integer number (15567065655661).

Almost surely, 2^{31134131311321} is an apocalyptic number.

It is an amenable number.

31134131311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

31134131311321 is an equidigital number, since it uses as much as digits as its factorization.

31134131311321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 28.

Adding to 31134131311321 its reverse (12311313143113), we get a palindrome (43445444454434).

The spelling of 31134131311321 in words is "thirty-one trillion, one hundred thirty-four billion, one hundred thirty-one million, three hundred eleven thousand, three hundred twenty-one".