311302013312 has 256 divisors, whose sum is σ = 706222540800. Its totient is φ = 135870873600.

The previous prime is 311302013279. The next prime is 311302013317. The reversal of 311302013312 is 213310203113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311302013317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432964889 + ... + 432965607.

It is an arithmetic number, because the mean of its divisors is an integer number (2758681800).

Almost surely, 2^311302013312 is an apocalyptic number.

311302013312 is a gapful number since it is divisible by the number (32) 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 311302013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353111270400).

311302013312 is an abundant number, since it is smaller than the sum of its proper divisors (394920527488).

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

311302013312 is a wasteful number, since it uses less digits than its factorization.

311302013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 311302013312 its reverse (213310203113), we get a palindrome (524612216425).

The spelling of 311302013312 in words is "three hundred eleven billion, three hundred two million, thirteen thousand, three hundred twelve".