311431301024101 has 2 divisors, whose sum is σ = 311431301024102. Its totient is φ = 311431301024100.

The previous prime is 311431301024059. The next prime is 311431301024113. The reversal of 311431301024101 is 101420103134113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275773384493476 + 35657916530625 = 16606426^2 + 5971425^2 .

It is a cyclic number.

It is not a de Polignac number, because 311431301024101 - 2²³ = 311431292635493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311431301024141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715650512050 + 155715650512051.

It is an arithmetic number, because the mean of its divisors is an integer number (155715650512051).

Almost surely, 2^{311431301024101} is an apocalyptic number.

It is an amenable number.

311431301024101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431301024101 is an equidigital number, since it uses as much as digits as its factorization.

311431301024101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 311431301024101 its reverse (101420103134113), we get a palindrome (412851404158214).

The spelling of 311431301024101 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred one million, twenty-four thousand, one hundred one".