311323111100 has 144 divisors (see below), whose sum is σ = 724064073600. Its totient is φ = 115833888000.

The previous prime is 311323111087. The next prime is 311323111103. The reversal of 311323111100 is 1111323113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154809095 + ... + 154811105.

Almost surely, 2^311323111100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311323111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362032036800).

311323111100 is an abundant number, since it is smaller than the sum of its proper divisors (412740962500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311323111100 is a wasteful number, since it uses less digits than its factorization.

311323111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 311323111100 its reverse (1111323113), we get a palindrome (312434434213).

The spelling of 311323111100 in words is "three hundred eleven billion, three hundred twenty-three million, one hundred eleven thousand, one hundred".