311431010423201 has 2 divisors, whose sum is σ = 311431010423202. Its totient is φ = 311431010423200.

The previous prime is 311431010423177. The next prime is 311431010423237. The reversal of 311431010423201 is 102324010134113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165252053401600 + 146178957021601 = 12855040^2 + 12090449^2 .

It is a cyclic number.

It is not a de Polignac number, because 311431010423201 - 2¹⁰ = 311431010422177 is a prime.

It is not a weakly prime, because it can be changed into another prime (311431010423261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715505211600 + 155715505211601.

It is an arithmetic number, because the mean of its divisors is an integer number (155715505211601).

Almost surely, 2^{311431010423201} is an apocalyptic number.

It is an amenable number.

311431010423201 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431010423201 is an equidigital number, since it uses as much as digits as its factorization.

311431010423201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 311431010423201 its reverse (102324010134113), we get a palindrome (413755020557314).

The spelling of 311431010423201 in words is "three hundred eleven trillion, four hundred thirty-one billion, ten million, four hundred twenty-three thousand, two hundred one".