31211311313129 has 2 divisors, whose sum is σ = 31211311313130. Its totient is φ = 31211311313128.

The previous prime is 31211311313111. The next prime is 31211311313131. The reversal of 31211311313129 is 92131311311213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20625086005225 + 10586225307904 = 4541485^2 + 3253648^2 .

It is an emirp because it is prime and its reverse (92131311311213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31211311313129 - 2¹⁶ = 31211311247593 is a prime.

Together with 31211311313131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31211311313095 and 31211311313104.

It is not a weakly prime, because it can be changed into another prime (31211311319129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15605655656564 + 15605655656565.

It is an arithmetic number, because the mean of its divisors is an integer number (15605655656565).

Almost surely, 2^{31211311313129} is an apocalyptic number.

It is an amenable number.

31211311313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31211311313129 is an equidigital number, since it uses as much as digits as its factorization.

31211311313129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 32.

The spelling of 31211311313129 in words is "thirty-one trillion, two hundred eleven billion, three hundred eleven million, three hundred thirteen thousand, one hundred twenty-nine".