311132001312 has 192 divisors, whose sum is σ = 990355766400. Its totient is φ = 94245258240.

The previous prime is 311132001281. The next prime is 311132001353. The reversal of 311132001312 is 213100231113.

311132001312 is a `hidden beast` number, since 31 + 1 + 1 + 320 + 0 + 1 + 312 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32964658 + ... + 32974094.

It is an arithmetic number, because the mean of its divisors is an integer number (5158102950).

Almost surely, 2^311132001312 is an apocalyptic number.

311132001312 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 311132001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495177883200).

311132001312 is an abundant number, since it is smaller than the sum of its proper divisors (679223765088).

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

311132001312 is a wasteful number, since it uses less digits than its factorization.

311132001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311132001312 its reverse (213100231113), we get a palindrome (524232232425).

The spelling of 311132001312 in words is "three hundred eleven billion, one hundred thirty-two million, one thousand, three hundred twelve".