311333000333113 has 12 divisors (see below), whose sum is σ = 345531417859264. Its totient is φ = 280282136211000.

The previous prime is 311333000333111. The next prime is 311333000333129.

311333000333113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311333000333113 - 2¹ = 311333000333111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311333000333111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12490278813 + ... + 12490303738.

Almost surely, 2^{311333000333113} is an apocalyptic number.

It is an amenable number.

311333000333113 is a deficient number, since it is larger than the sum of its proper divisors (34198417526151).

311333000333113 is a wasteful number, since it uses less digits than its factorization.

311333000333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980582676 (or 24980582665 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 311333000 and 333113, that added together give a palindrome (311666113).

The spelling of 311333000333113 in words is "three hundred eleven trillion, three hundred thirty-three billion, three hundred thirty-three thousand, one hundred thirteen".