311113223331133 has 2 divisors, whose sum is σ = 311113223331134. Its totient is φ = 311113223331132.

The previous prime is 311113223331121. The next prime is 311113223331143. The reversal of 311113223331133 is 331133322311113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189864892047609 + 121248331283524 = 13779147^2 + 11011282^2 .

It is a cyclic number.

It is not a de Polignac number, because 311113223331133 - 2⁴⁵ = 275928851242301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311113223331095 and 311113223331104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311113223331143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155556611665566 + 155556611665567.

It is an arithmetic number, because the mean of its divisors is an integer number (155556611665567).

Almost surely, 2^{311113223331133} is an apocalyptic number.

It is an amenable number.

311113223331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

311113223331133 is an equidigital number, since it uses as much as digits as its factorization.

311113223331133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 31.

Adding to 311113223331133 its reverse (331133322311113), we get a palindrome (642246545642246).

The spelling of 311113223331133 in words is "three hundred eleven trillion, one hundred thirteen billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred thirty-three".