31064105605129 has 2 divisors, whose sum is σ = 31064105605130. Its totient is φ = 31064105605128.

The previous prime is 31064105605123. The next prime is 31064105605177. The reversal of 31064105605129 is 92150650146013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17671287060729 + 13392818544400 = 4203723^2 + 3659620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31064105605129 is a prime.

It is a super-2 number, since 2×31064105605129² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31064105605123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15532052802564 + 15532052802565.

It is an arithmetic number, because the mean of its divisors is an integer number (15532052802565).

Almost surely, 2^{31064105605129} is an apocalyptic number.

It is an amenable number.

31064105605129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31064105605129 is an equidigital number, since it uses as much as digits as its factorization.

31064105605129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 31064105605129 in words is "thirty-one trillion, sixty-four billion, one hundred five million, six hundred five thousand, one hundred twenty-nine".