311223003311331 has 12 divisors (see below), whose sum is σ = 449682362210952. Its totient is φ = 207418298779296.

The previous prime is 311223003311309. The next prime is 311223003311357. The reversal of 311223003311331 is 133113300322113.

311223003311331 is a `hidden beast` number, since 3 + 1 + 1 + 22 + 300 + 3 + 3 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 311223003311331 - 2¹⁸ = 311223003049187 is a prime.

It is a super-2 number, since 2×311223003311331² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311223003311295 and 311223003311304.

It is not an unprimeable number, because it can be changed into a prime (311223003351331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5308588081 + ... + 5308646706.

It is an arithmetic number, because the mean of its divisors is an integer number (37473530184246).

Almost surely, 2^{311223003311331} is an apocalyptic number.

311223003311331 is a deficient number, since it is larger than the sum of its proper divisors (138459358899621).

311223003311331 is a wasteful number, since it uses less digits than its factorization.

311223003311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617238050 (or 10617238047 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 311223003311331 its reverse (133113300322113), we get a palindrome (444336303633444).

The spelling of 311223003311331 in words is "three hundred eleven trillion, two hundred twenty-three billion, three million, three hundred eleven thousand, three hundred thirty-one".