311320343120 has 80 divisors (see below), whose sum is σ = 767092219920. Its totient is φ = 117096701952.

The previous prime is 311320343107. The next prime is 311320343129. The reversal of 311320343120 is 21343023113.

It can be written as a sum of positive squares in 8 ways, for example, as 49659448336 + 261660894784 = 222844^2 + 511528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311320343129) 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, 1405034 + ... + 1611446.

It is an arithmetic number, because the mean of its divisors is an integer number (9588652749).

Almost surely, 2^311320343120 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 311320343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383546109960).

311320343120 is an abundant number, since it is smaller than the sum of its proper divisors (455771876800).

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

311320343120 is a wasteful number, since it uses less digits than its factorization.

311320343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207552 (or 207546 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 311320343120 its reverse (21343023113), we get a palindrome (332663366233).

The spelling of 311320343120 in words is "three hundred eleven billion, three hundred twenty million, three hundred forty-three thousand, one hundred twenty".