311003013312 has 252 divisors, whose sum is σ = 981741262320. Its totient is φ = 93939969024.

The previous prime is 311003013311. The next prime is 311003013329. The reversal of 311003013312 is 213310300113.

It is a happy number.

311003013312 is a `hidden beast` number, since 31 + 1 + 0 + 0 + 301 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311003013311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4750014 + ... + 4815042.

It is an arithmetic number, because the mean of its divisors is an integer number (3895798660).

Almost surely, 2^311003013312 is an apocalyptic number.

311003013312 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 311003013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490870631160).

311003013312 is an abundant number, since it is smaller than the sum of its proper divisors (670738249008).

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

311003013312 is a wasteful number, since it uses less digits than its factorization.

311003013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65108 (or 65076 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 311003013312 its reverse (213310300113), we get a palindrome (524313313425).

The spelling of 311003013312 in words is "three hundred eleven billion, three million, thirteen thousand, three hundred twelve".