311323210211312 has 240 divisors, whose sum is σ = 674151991752096. Its totient is φ = 139148845056000.

The previous prime is 311323210211249. The next prime is 311323210211317. The reversal of 311323210211312 is 213112012323113.

It is a super-2 number, since 2×311323210211312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323210211317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6875338112 + ... + 6875383392.

Almost surely, 2^{311323210211312} 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 311323210211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337075995876048).

311323210211312 is an abundant number, since it is smaller than the sum of its proper divisors (362828781540784).

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

311323210211312 is a wasteful number, since it uses less digits than its factorization.

311323210211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46020 (or 46001 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 311323210211312 its reverse (213112012323113), we get a palindrome (524435222534425).

The spelling of 311323210211312 in words is "three hundred eleven trillion, three hundred twenty-three billion, two hundred ten million, two hundred eleven thousand, three hundred twelve".