31101101323009 has 2 divisors, whose sum is σ = 31101101323010. Its totient is φ = 31101101323008.

The previous prime is 31101101322983. The next prime is 31101101323013. The reversal of 31101101323009 is 90032310110113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15636765292225 + 15464336030784 = 3954335^2 + 3932472^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101101323009 - 2¹³ = 31101101314817 is a prime.

It is not a weakly prime, because it can be changed into another prime (31101101323909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550550661504 + 15550550661505.

It is an arithmetic number, because the mean of its divisors is an integer number (15550550661505).

Almost surely, 2^{31101101323009} is an apocalyptic number.

It is an amenable number.

31101101323009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101101323009 is an equidigital number, since it uses as much as digits as its factorization.

31101101323009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 31101101323009 in words is "thirty-one trillion, one hundred one billion, one hundred one million, three hundred twenty-three thousand, nine".