240311414310013 has 2 divisors, whose sum is σ = 240311414310014. Its totient is φ = 240311414310012.

The previous prime is 240311414309987. The next prime is 240311414310041. The reversal of 240311414310013 is 310013414113042.

It is an a-pointer prime, because the next prime (240311414310041) can be obtained adding 240311414310013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239968695391929 + 342718918084 = 15490923^2 + 585422^2 .

It is a cyclic number.

It is not a de Polignac number, because 240311414310013 - 2⁹ = 240311414309501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240311414313013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120155707155006 + 120155707155007.

It is an arithmetic number, because the mean of its divisors is an integer number (120155707155007).

Almost surely, 2^{240311414310013} is an apocalyptic number.

It is an amenable number.

240311414310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

240311414310013 is an equidigital number, since it uses as much as digits as its factorization.

240311414310013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 240311414310013 its reverse (310013414113042), we get a palindrome (550324828423055).

The spelling of 240311414310013 in words is "two hundred forty trillion, three hundred eleven billion, four hundred fourteen million, three hundred ten thousand, thirteen".