31734484126129 has 2 divisors, whose sum is σ = 31734484126130. Its totient is φ = 31734484126128.

The previous prime is 31734484126097. The next prime is 31734484126133. The reversal of 31734484126129 is 92162148443713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31700728515600 + 33755610529 = 5630340^2 + 183727^2 .

It is a cyclic number.

It is not a de Polignac number, because 31734484126129 - 2⁵ = 31734484126097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31734484126129.

It is not a weakly prime, because it can be changed into another prime (31734484126159) 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, 15867242063064 + 15867242063065.

It is an arithmetic number, because the mean of its divisors is an integer number (15867242063065).

Almost surely, 2^{31734484126129} is an apocalyptic number.

It is an amenable number.

31734484126129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31734484126129 is an equidigital number, since it uses as much as digits as its factorization.

31734484126129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6967296, while the sum is 55.

The spelling of 31734484126129 in words is "thirty-one trillion, seven hundred thirty-four billion, four hundred eighty-four million, one hundred twenty-six thousand, one hundred twenty-nine".