31434525002129 has 2 divisors, whose sum is σ = 31434525002130. Its totient is φ = 31434525002128.

The previous prime is 31434525002123. The next prime is 31434525002147. The reversal of 31434525002129 is 92120052543413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24286682135104 + 7147842867025 = 4928152^2 + 2673545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31434525002129 is a prime.

It is not a weakly prime, because it can be changed into another prime (31434525002123) 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, 15717262501064 + 15717262501065.

It is an arithmetic number, because the mean of its divisors is an integer number (15717262501065).

Almost surely, 2^{31434525002129} is an apocalyptic number.

It is an amenable number.

31434525002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434525002129 is an equidigital number, since it uses as much as digits as its factorization.

31434525002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 31434525002129 in words is "thirty-one trillion, four hundred thirty-four billion, five hundred twenty-five million, two thousand, one hundred twenty-nine".