31145335144009 has 2 divisors, whose sum is σ = 31145335144010. Its totient is φ = 31145335144008.

The previous prime is 31145335143959. The next prime is 31145335144037. The reversal of 31145335144009 is 90044153354113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18007631731600 + 13137703412409 = 4243540^2 + 3624597^2 .

It is a cyclic number.

It is not a de Polignac number, because 31145335144009 - 2¹⁷ = 31145335012937 is a prime.

It is not a weakly prime, because it can be changed into another prime (31145335144409) 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, 15572667572004 + 15572667572005.

It is an arithmetic number, because the mean of its divisors is an integer number (15572667572005).

Almost surely, 2^{31145335144009} is an apocalyptic number.

It is an amenable number.

31145335144009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31145335144009 is an equidigital number, since it uses as much as digits as its factorization.

31145335144009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 31145335144009 in words is "thirty-one trillion, one hundred forty-five billion, three hundred thirty-five million, one hundred forty-four thousand, nine".