31301132130001 has 2 divisors, whose sum is σ = 31301132130002. Its totient is φ = 31301132130000.

The previous prime is 31301132129999. The next prime is 31301132130011. The reversal of 31301132130001 is 10003123110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29382904360000 + 1918227770001 = 5420600^2 + 1385001^2 .

It is a cyclic number.

It is not a de Polignac number, because 31301132130001 - 2¹ = 31301132129999 is a prime.

Together with 31301132129999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31301132130011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650566065000 + 15650566065001.

It is an arithmetic number, because the mean of its divisors is an integer number (15650566065001).

Almost surely, 2^{31301132130001} is an apocalyptic number.

It is an amenable number.

31301132130001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301132130001 is an equidigital number, since it uses as much as digits as its factorization.

31301132130001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31301132130001 its reverse (10003123110313), we get a palindrome (41304255240314).

The spelling of 31301132130001 in words is "thirty-one trillion, three hundred one billion, one hundred thirty-two million, one hundred thirty thousand, one".