34127631301 has 2 divisors, whose sum is σ = 34127631302. Its totient is φ = 34127631300.

The previous prime is 34127631283. The next prime is 34127631341. The reversal of 34127631301 is 10313672143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31257886401 + 2869744900 = 176799^2 + 53570^2 .

It is a cyclic number.

It is not a de Polignac number, because 34127631301 - 2¹³ = 34127623109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34127631341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17063815650 + 17063815651.

It is an arithmetic number, because the mean of its divisors is an integer number (17063815651).

Almost surely, 2^34127631301 is an apocalyptic number.

It is an amenable number.

34127631301 is a deficient number, since it is larger than the sum of its proper divisors (1).

34127631301 is an equidigital number, since it uses as much as digits as its factorization.

34127631301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 34127631301 in words is "thirty-four billion, one hundred twenty-seven million, six hundred thirty-one thousand, three hundred one".