311317310720 has 144 divisors (see below), whose sum is σ = 830757105360. Its totient is φ = 110984036352.

The previous prime is 311317310693. The next prime is 311317310747. The reversal of 311317310720 is 27013713113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311317310693) and next prime (311317310747).

It can be written as a sum of positive squares in 8 ways, for example, as 73688359936 + 237628950784 = 271456^2 + 487472^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159992 + ... + 805128.

It is an arithmetic number, because the mean of its divisors is an integer number (5769146565).

Almost surely, 2^311317310720 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 311317310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415378552680).

311317310720 is an abundant number, since it is smaller than the sum of its proper divisors (519439794640).

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

311317310720 is a wasteful number, since it uses less digits than its factorization.

311317310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645200 (or 645186 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 311317310720 in words is "three hundred eleven billion, three hundred seventeen million, three hundred ten thousand, seven hundred twenty".