31130135417 has 2 divisors, whose sum is σ = 31130135418. Its totient is φ = 31130135416.

The previous prime is 31130135389. The next prime is 31130135419. The reversal of 31130135417 is 71453103113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23832875641 + 7297259776 = 154379^2 + 85424^2 .

It is a cyclic number.

It is not a de Polignac number, because 31130135417 - 2¹⁰ = 31130134393 is a prime.

Together with 31130135419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31130135417.

It is not a weakly prime, because it can be changed into another prime (31130135419) 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, 15565067708 + 15565067709.

It is an arithmetic number, because the mean of its divisors is an integer number (15565067709).

Almost surely, 2^31130135417 is an apocalyptic number.

It is an amenable number.

31130135417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130135417 is an equidigital number, since it uses as much as digits as its factorization.

31130135417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The spelling of 31130135417 in words is "thirty-one billion, one hundred thirty million, one hundred thirty-five thousand, four hundred seventeen".