311140413000101 has 2 divisors, whose sum is σ = 311140413000102. Its totient is φ = 311140413000100.

The previous prime is 311140413000037. The next prime is 311140413000107. The reversal of 311140413000101 is 101000314041113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185306962562500 + 125833450437601 = 13612750^2 + 11217551^2 .

It is a cyclic number.

It is not a de Polignac number, because 311140413000101 - 2⁶ = 311140413000037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311140413000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155570206500050 + 155570206500051.

It is an arithmetic number, because the mean of its divisors is an integer number (155570206500051).

Almost surely, 2^{311140413000101} is an apocalyptic number.

It is an amenable number.

311140413000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311140413000101 is an equidigital number, since it uses as much as digits as its factorization.

311140413000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 311140413000101 its reverse (101000314041113), we get a palindrome (412140727041214).

The spelling of 311140413000101 in words is "three hundred eleven trillion, one hundred forty billion, four hundred thirteen million, one hundred one", and thus it is an aban number.