311320323111000 has 512 divisors, whose sum is σ = 1175577486520320. Its totient is φ = 66961751040000.

The previous prime is 311320323110999. The next prime is 311320323111047. The reversal of 311320323111000 is 111323023113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2195836114 + ... + 2195977886.

It is an arithmetic number, because the mean of its divisors is an integer number (2296049778360).

Almost surely, 2^{311320323111000} is an apocalyptic number.

311320323111000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311320323111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587788743260160).

311320323111000 is an abundant number, since it is smaller than the sum of its proper divisors (864257163409320).

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

311320323111000 is a wasteful number, since it uses less digits than its factorization.

311320323111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147972 (or 147958 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311320323111000 its reverse (111323023113), we get a palindrome (311431646134113).

The spelling of 311320323111000 in words is "three hundred eleven trillion, three hundred twenty billion, three hundred twenty-three million, one hundred eleven thousand".