311220123031000 has 128 divisors (see below), whose sum is σ = 760614947688960. Its totient is φ = 118966372272000.

The previous prime is 311220123030953. The next prime is 311220123031003. The reversal of 311220123031000 is 130321022113.

It is a super-3 number, since 3×311220123031000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311220123031003) 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 31 ways as a sum of consecutive naturals, for example, 18891667 + ... + 31294333.

It is an arithmetic number, because the mean of its divisors is an integer number (5942304278820).

Almost surely, 2^{311220123031000} 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 311220123031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380307473844480).

311220123031000 is an abundant number, since it is smaller than the sum of its proper divisors (449394824657960).

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

311220123031000 is a wasteful number, since it uses less digits than its factorization.

311220123031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12403802 (or 12403788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 311220123031000 its reverse (130321022113), we get a palindrome (311350444053113).

The spelling of 311220123031000 in words is "three hundred eleven trillion, two hundred twenty billion, one hundred twenty-three million, thirty-one thousand".