10311223313311 has 16 divisors (see below), whose sum is σ = 10653344824320. Its totient is φ = 9969697664640.

The previous prime is 10311223313309. The next prime is 10311223313357. The reversal of 10311223313311 is 11331332211301.

It is a cyclic number.

It is not a de Polignac number, because 10311223313311 - 2¹ = 10311223313309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311223313381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538744980 + ... + 538764118.

It is an arithmetic number, because the mean of its divisors is an integer number (665834051520).

Almost surely, 2^{10311223313311} is an apocalyptic number.

10311223313311 is a deficient number, since it is larger than the sum of its proper divisors (342121511009).

10311223313311 is a wasteful number, since it uses less digits than its factorization.

10311223313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33774.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 10311223313311 its reverse (11331332211301), we get a palindrome (21642555524612).

The spelling of 10311223313311 in words is "ten trillion, three hundred eleven billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred eleven".